D. ter Haar – författare
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116 produkter
116 produkter
E-bok
PDF, Engelska, 1995672 kr
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Following the Boltzmann-Gibbs approach to statistical mechanics, this new edition of Dr ter Haar''s important textbook, Elements of Statistical Mechanics, provides undergraduates and more senior academics with a thorough introduction to the subject. Each chapter is followed by a problem section and detailed bibliography.The first six chapters of the book provide a thorough introduction to the basic methods of statistical mechanics and indeed the first four may be used as an introductory course in themselves. The last three chapters offer more detail on the equation of state, with special emphasis on the van der Waals gas; the second-quantisation approach to many-body systems, with an examination of two-time temperature-dependent Green functions; phase transitions, including various approximation methods for treating the Ising model, a brief discussion of the exact solution of the two-dimensional square Ising model, and short introductions to renormalisation group methods and the Yang and Lee theory of phase transitions. In the problem section which follows each chapter the reader is asked to complete proofs of basic theory and to apply that theory to various physical situations. Each chapter bibliography includes papers which are of historical interest. A further help to the reader are the solutions to selected problems which appear at the end of the book.
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Engelska, 2012672 kr
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Evgenii Mikhailovich Lifshitz is perhaps best known for his long association with his mentor Lev D Landau, with whom he co-wrote the classic Course of Theoretical Physics, but he was a noted and respected Soviet physicist in his own right. Born in the Ukraine to a scientific family, his long and distinguished career will be remembered for three things - his collaboration with Landau on the internationally acclaimed Course of Theoretical Physics, his work as editor of the Journal of Experimental and Theoretical Physics, and his scientific papers. As well as his work with Landau, E\M\Lifshitz collaborated with many noted Soviet scientists such as I\M\Khalatnikov, I\E\Dyzaloshinskii, V\V\Sudakov, V\A\Belinskii and the editor of this book, L\P\Pitaevskii. Many of the papers presented in this book include their contribution. Collected together they give a comprehensive and penetrating insight into the man and his work, clearly showing Lifshitz''s contribution to physics and the influences on his work.
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654 kr
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Special Theory of Relativity
The Commonwealth and International Library: Selected Readings in Physics
E-bok
PDF, Engelska, 2016756 kr
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Special Theory of Relativity provides a discussion of the special theory of relativity. Special relativity is not, like other scientific theories, a statement about the matter that forms the physical world, but has the form of a condition that the explicit physical theories must satisfy. It is thus a form of description, playing to some extent the role of the grammar of physics, prescribing which combinations of theoretical statements are admissible as descriptions of the physical world. Thus, to describe it, one needs also to describe those specific theories and to say how much they are limited by it. The book is organized into two parts. The first part traces the historical development of the special theory of relativity, including Einstein''s contribution, the elementary consequences of the Lorentz transformation, and applications in quantum theory. The second part contains extracts from various publications covering topics such as relative motion of the earth, and the luminiferous and dynamics of the electron.
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PDF, Engelska, 2014354 kr
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Mechanisms of Speech Recognition explores the mechanisms underlying speech recognition. Topics covered include the auditory system, speech production, auditory psychophysics, speech synthesis and analysis, vowel and consonant recognition, and perception of prosodic features and of distorted speech. Automatic speech recognition and models of speech recognition are also given consideration. This volume consists of 11 chapters and begins with an overview of speech recognition, communication, and production. More specifically, it examines the way in which the organs of the vocal apparatus are employed to transform a message consisting of a string of linguistic units, such as words or phonemes, into a wave of continuous sounds which are recognized as speech. The auditory system and its parts are then described, from the ears to the organ of Corti and nerve cells. The chapters that follow focus on the behavior of the hearing system, the various techniques of analyzing speech sounds, and speech synthesizers such as vocoders. The mechanisms underlying the recognition of vowels and consonants are also described, along with the physical parameters of the speech wave which signal the prosody of an utterance, the effects of distortions in the speech wave on speech perception, and tools used in automatic speech recognition. The book concludes with an evaluation of models of speech recognition. This book will be of interest to phoneticians, linguists, physiologists, psychologists, and physicists.
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PDF, Engelska, 2016756 kr
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Transistors reviews major advances that have been made with respect to transistors and illustrates some of the many facets of transistor research and development. Topics covered range from point contact devices and junction devices to p-n junctions in semiconductors, unipolar and analog transistors, and hole injection in transistor action. The physical principles involved in transistor action are also discussed, along with the nature of the forward current in germanium point contacts. This book is comprised of 19 papers and begins with a summary of the semiconductor physics pertinent to the understanding of transistors. The reader is then introduced to developments in point contact devices and junction devices; how the conductance of thin films of semiconductors is modulated by surface charges; the relation between surface states and rectification at a metal-semiconductor contact; and a three-element electronic device that utilizes a semiconductor as the basic element. The remaining papers focus on p-n junction transistors; the theory of alpha for p-n-p diffused junction transistors; and unipolar and analog transistors. The effects of electrical forming on the rectifying barriers of n- and p-germanium transistors are also analyzed. The final chapter describes a thin-film transistor fabricated by evaporation of all components onto an insulating substrate. This monograph will be of interest to physicists and electronics engineers.
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PDF, Engelska, 2016344 kr
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Kinetic Theory, Volume I: The Nature of Gases and of Heat deals with kinetic theory and the nature of gases and heat. A comprehensive account of the life, works, and historical environment of a number of scientists such as Robert Boyle and Hermann von Helmholtz is presented. This volume is comprised of 11 chapters and begins with an overview of the caloric theory, the principle of conservation of energy, the ""virial theorem,"" and atomic magnitudes. The discussion then turns to the qualitative atomic theory of the ""spring"" of the air, proposed by Robert Boyle; Isaac Newton''s repulsion theory; Daniel Bernoulli''s thery on the properties and motions of elastic fluids, especially air; and George Gregory''s theory on the existence of fire. Subsequent chapters focus on Robert Mayer''s theory on the forces of inorganic nature; James Joule''s theory on matter, living force, and heat; Hermann von Helmholtz''s theory on the conservation of force; and Rudolf Clausius''s theory on the nature of heat. James Clerk Maxwell''s dynamical theory of gases is also examined. This book is written primarily for students and research workers in physics, as well as for historians of science.
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PDF, Engelska, 2013756 kr
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Men of Physics: Galileo Galilei, His Life and His Works deals with Galileo Galilei''s radical discoveries and trail during the Inquisition. The book describes the life of Galileo and his many interests in art and music, in addition to science. Galileo is born in Pisa in 1564, and at age 25, he is appointed to the Chair of Mathematics at the University of Pisa. He writes several papers, for example, mathematical continuum as contrasted with physical atomism, and investigates the behavior of magnetic poles. He believes in William Gilbert''s experiment that the earth itself is a large magnet. He conducts experiments on oscillations — using a simple pendulum to investigate complex phenomena. He defines uniform motion, with respect to time intervals, whether these are great or small. He suggests a method to measure the speed of light, believing that light has a definite speed. He contributes to knowledge on sunspots, constructs his own telescopes, and is considered by some as the inventor of the telescope. He publishes ""The Two Chief World Systems,"" comparing the Ptolemaic and Copernican theories of the solar system and claiming that the earth moves and the sun stands still. For this, the Inquisition orders him to stand trial. He confesses, abjures, and lives under house arrest. In 1639, he refuses an offer of freedom by the Pope. Galileo dies in 1642. He is known as the founder of modern physics. Students of history and most readers with general interest will find this book entertaining and informative.
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PDF, Engelska, 2013756 kr
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International Series of Monographs in Natural Philosophy, Volume 5: Weak Interaction of Elementary Particles focuses on the composition, properties, and reactions of elementary particles and high energies. The book first discusses elementary particles. Concerns include isotopic invariance in the Sakata model; conservation of fundamental particles; scheme of isomultiplets in the Sakata model; universal, unitary-symmetric strong interaction; and universal weak interaction. The text also focuses on spinors, amplitudes, and currents. Wave function, calculation of traces, five bilinear covariants, and electromagnetic interaction are explained. The text also discusses charge conjugation, inversion of coordinates, and time reversal; weak interaction between leptons; and leptonic decays of strongly interacting particles. The text also explains strangeness conserving leptonic decays. Conservation of the vector current; electromagnetic properties of protons and neutrons; vector coupling constant; and relationships between weak and electronic form factors are underscored. The book also discusses weak interaction at small distances. Intermediate bosons, local four-fermion interactions, and statement of the problem are explained. The text is a vital reference for readers interested in the composition, properties, and reactions of elementary particles and high energies.
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PDF, Engelska, 2013756 kr
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Stellar Formation focuses on the properties, distributions, characteristics, and formation of stars and galaxies. The manuscript first offers information on locations of star formation, as well as the distribution of interstellar gas, clouds, and globules; spatial relationships between young stars and interstellar matter; and distribution of young stars. The book also tackles frequency distribution of stellar masses and aggregates of stars. The text ponders on the frequency distribution of cloud masses, rate and environment of star formation, and cloud structure in the interstellar gas. The publication also examines the fragmentation of clouds into protostars and the frequency distribution of protostar masses, rate of formation of stars, and evolution of galaxies. Discussions focus on random fragmentation, gravitational turbulence, and fragmentation induced by molecule formation. The manuscript is a vital reference for scientists and readers interested in stellar formation.
E-bok
PDF, Engelska, 2016347 kr
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An Introduction to the Theory of Plasma Turbulence is a collection of lectures given by the author at Culham laboratory. The book deals with developments on the theory of plasma turbulence. The author describes plasma properties in the turbulent regions as mostly non-linear in nature, and notes that these properties can be regarded as a universal spectrum independent of any type of instability. The text then discusses the general problems of the theory of plasma turbulence. The author also shows that elementary excitation of ""dressed"" particles have a finite lifetime associated with non-linear interactions. The book then discusses the excitation of ion-sound turbulence using different processes, for example, shock waves; the text also analyzes the kind of non-linear interactions present in such energy transfer. The author also explains the Langmuir plasma oscillations — a typical collective plasma motion that can be excited using different types of mechanism such as an electron beam. The book then describes the electromagnetic properties of turbulent plasma and relates the state of turbulent plasma as a natural occurrence in the universe. The book notes the problem of cosmic rays, not as an energy transfer to faster particles, but as an energy distribution between particles. The text will prove valuable for nuclear physicists, scientists, and academicians in the field of quantum mechanics.
E-bok
PDF, Engelska, 2016756 kr
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Mechanics: Classical and Quantum is a 13-chapter book that begins by explaining the Lagrangian and Hamiltonian formulation of mechanics. The Hamilton-Jacobi theory, historical background of the quantum theory, and wave mechanics are then described. Subsequent chapters discuss the time-independent Schrödinger equation and some of its applications; the operators, observables, and the quantization of a physical system; the significance of expectation values; and the concept of measurement in quantum mechanics. The matrix mechanics and the "hydrogenic atom", an atom in which one electron moves under the influence of a nucleus of charge that, to a very good approximation, can be thought of as a point, are also presented. This book will be very useful to students studying this field of interest.
E-bok
PDF, Engelska, 2016756 kr
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Self-Consistent Fields in Atoms: Hartree and Thomas-Fermi atoms centers on atomic properties- energy levels, binding energies, how atoms scatter X-rays, what magnetic properties they have, and so on. This book is organized into two parts. Part I contains topics including central field wave functions and angular momentum operators; concept of self-consistent field; Thomas-Fermi atom; energies of atoms and ions; X-ray scattering and electron densities in atoms; and relativistic effects in heavy atoms. Part II discusses the wave mechanics of an atom with a non-Coulomb central field; the calculation of atomic fields; a statistical method for the determination of some atomic properties and the application of this method to the theory of the periodic system of elements; and a simplification of the Hartree-Fock method.
E-bok
PDF, Engelska, 2013763 kr
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Kinetic Theory of Nonideal Gases and Nonideal Plasmas presents the fundamental aspects of the kinetic theory of gases and plasmas. The book consists of three parts, which attempts to present some of the ideas, methods and applications in the study of the kinetic processes in nonideal gases and plasmas. The first part focuses on the classical kinetic theory of nonideal gases. The second part discusses the classical kinetic theory of fully ionized plasmas. The last part is devoted to the quantum kinetic theory of nonideal gases and plasmas. A concluding chapter is included, which presents a short account of the kinetic theory of chemically reacting systems and of partially ionized plasmas, in order to espouse further studies in the field. Physicists, scientific researchers, professors, and graduate students in various fields will find the text of good use.
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PDF, Engelska, 2016756 kr
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International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random processes; influence of finiteness of the interval of averaging; scalar and vector random fields; and statistical moments. The text takes a look at the statistical theory of turbulence. Topics include turbulence with very large Reynolds numbers; emergence of turbulent motion; and energy spectrum in isothermal turbulent shear flow. The book also discusses small-scale and large-scale atmospheric turbulence and applications to numerical weather analysis and prediction. The manuscript is a vital source of data for readers interested in random theory.
E-bok
PDF, Engelska, 2018756 kr
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Selected Readings in Physics: Wave Mechanics provides information pertinent to the fundamental aspects of wave mechanics. This book discusses the discovery of quantum mechanics. Organized into two parts encompassing five chapters and eight papers, this book begins with an overview of the essential parts of a theory, including a mathematical system, a domain of determinable facts, and a system of prescriptions correlating mathematical quantities and physical facts. This text then describes the classical model of electrons as mass points. Other chapters consider the connections between mathematically calculated quantities and physically measured quantities. This book discusses as well the relationship between the concepts of frequency and energy. The final paper deals with the theory of collision processes in which the transition probabilities are determined by the asymptomatic behavior of aperiodic solutions. This book is a valuable resource for physicists, scientists, and research workers.
E-bok
PDF, Engelska, 2013756 kr
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Kinetic Theory, Volume 3: The Chapman-Enskog Solution of the Transport Equation for Moderately Dense Gases describes the Chapman-Enskog solution of the transport equation for moderately dense gases. Topics covered range from the propagation of sound in monatomic gases to the kinetic theory of simple and composite monatomic gases and generalizations of the theory to higher densities. The application of kinetic theory to the determination of intermolecular forces is also discussed. This volume is divided into two sections and begins with an introduction to the work of Hilbert, Chapman, and Enskog that led to the formulation of the Chapman-Enskog theory. The Chapman-Enskog results are then compared with those of earlier theories with respect to viscosity, heat conduction, diffusion, and thermal diffusion. Subsequent chapters focus on alternatives to the Chapman-Enskog method and some mathematical problems; foundations of the kinetic theory of gases; and kinetic theory of processes in dilute gases and of heat conduction, viscosity, and self-diffusion in compressed gases and liquids. This book should be of interest to graduate students and others undertaking research in kinetic theory.
E-bok
PDF, Engelska, 2016756 kr
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Dislocations and Plastic Deformation deals with dislocations and plastic deformation, and specifically discusses topics ranging from deformation of single crystals and dislocations in the lattice to the fundamentals of the continuum theory, the properties of point defects in crystals, multiplication of dislocations, and partial dislocations. The effect of lattice defects on the physical properties of metals is also considered. Comprised of nine chapters, this book begins by providing a short and, where possible, precise explanation of dislocation theory. The first six chapters discuss the properties of dislocations and point defects both in crystals and in an elastic continuum. The reader is then introduced to some applications of dislocation theory that show, for instance, the difficulties involved in understanding the hardening of alloys and the work-hardening of pure metals. This book concludes by analyzing the effect of heat treatment on the defect structure in metals. This text will be of interest to students and practitioners in the field of physics.
E-bok
PDF, Engelska, 2013802 kr
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Men of Physics: Lord Rayleigh–The Man and His Work presents an appraisal of the significance of Rayleigh''s scientific work, together with extracts from his published papers. The book starts by providing a biographical sketch of John William Strutt, Third Baron Rayleigh (1842-1919). The text then discusses Lord Rayleigh''s contributions to science, including the physical phenomena, optical instruments, electrical standards, and the theory of relativity. Selections from Rayleigh''s scientific papers, which are included in the book, are also considered. These selections include papers about the theory of resonance; the intensity and polarization of the scattered light; the manufacture and theory of diffraction-gratings; and the binaural effect. Other selected papers include those about the application of the principle of reciprocity to acoustics; the stability of fluid flow; the Rayleigh disk; and acoustic streaming. The study of surface waves in elastic solids; the discovery and isolation of argon; sound propagation; and electromagnetic radiation are the other topics included in the selection of papers in the book. Physicists will find the book invaluable.
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PDF, Engelska, 2013756 kr
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Solid State Nuclear Track Detection: Principles, Methods and Applications is the second book written by the authors after Nuclear Tracks in Solids: Principles and Applications. The book is meant as an introduction to the subject solid state of nuclear track detection. The text covers the interactions of charged particles with matter; the nature of the charged-particle track; the methodology and geometry of track etching; thermal fading of latent damage trails on tracks; the use of dielectric track recorders in particle identification; radiation dossimetry; and solid state nuclear track detection instrumentation. The book also covers fission track dating, and the application of track detectors and its future direction. The selection is recommended for newcomers to the field of solid state nuclear track detection and its research, those who wish to acquire a basic knowledge of the techniques of the discipline, and those who wish to gain a general view of the present status of the subject.
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PDF, Engelska, 2013344 kr
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A Method for Studying Model Hamiltonians: A Minimax Principle for Problems in Statistical Physics centers on methods for solving certain problems in statistical physics which contain four-fermion interaction. Organized into four chapters, this book begins with a presentation of the proof of the asymptotic relations for the many-time correlation functions. Chapter 2 details the construction of a proof of the generalized asymptotic relations for the many-time correlation averages. Chapter 3 explains the correlation functions for systems with four-fermion negative interaction. The last chapter shows the model systems with positive and negative interaction components.
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PDF, Engelska, 2016756 kr
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Selected Readings in Physics: Applied Group Theory provides information pertinent to the fundamental aspects of applied group theory. This book discusses the properties of symmetry of a system in quantum mechanics. Organized into two parts encompassing nine chapters, this book begins with an overview of the problem of elastic vibrations of a symmetric structure. This text then examines the numbers, degeneracies, and symmetries of the normal modes of vibration. Other chapters consider the conditions under which a polyatomic molecule can have a stable equilibrium configuration when its electronic state has orbital degeneracy. This book discusses as well the effect of an electric field having a given symmetry upon an atom. The final chapter deals with the symmetry of crystals with a magnetic moment. This book is intended to be suitable for final-year students and fresh postgraduate students in physics. Physicists and researcher workers will also find this book extremely useful.
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PDF, Engelska, 2013344 kr
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Lectures on Selected Topics in Statistical Mechanics is a collection of lectures given at the 1971 Simla Summer School of Statistical Mechanics held in India. The lectures explore a wide range of topics related to statistical mechanics, including occupation number representation; the Green function method; the pair Hamiltonian model of an imperfect Bose gas; fluctuations in a perfect Bose gas; and the equation of state of an imperfect gas. A simple derivation of the Bloch equation is also presented, along with the statistical mechanics of stellar systems. Comprised of eight chapters, this volume begins with a discussion on the occupation number representation by considering some relevant formulae from ensemble theory. Classical petit and grand ensembles are described, together with quanta1 petit and grand ensembles. Subsequent chapters focus on the Green function method in statistical mechanics; the pair Hamiltonian model of the imperfect Bose gas and its solution in the absence of Bose-Einstein condensation using Green function methods and diagrammatic techniques; fluctuations in a perfect Bose gas; the equation of state of an imperfect gas; and a simple derivation of the Bloch equation. Finally, the statistical mechanics of stellar systems and an approach to equilibrium are described. This book will be of interest to physicists.
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PDF, Engelska, 2013344 kr
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Gravitation and Relativity generalizes Isaac Newton''s theory of gravitation using the elementary tools of Albert Einstein''s special relativity. Topics covered include gravitational waves, martian electrodynamics, relativistic gravitational fields and gravitational forces, the distortion of reference frames, and the precession of the perihelion of Mercury. Black holes and the geometry of spacetime also receive consideration. This book is comprised of 10 chapters; the first of which briefly reviews special relativity, with the emphasis on the Lorentz covariance of the equations of physics. This topic is then followed by a short discussion on accelerations in the framework of special relativity. Two problems related to the gravitational deflection of light and how to detect a gravitational acceleration by observations within a freely falling laboratory are discussed in this book. The chapters that follow focus on the Eötvös-Dicke experiments that established the identity of inertial and gravitational mass; the equations of electrodynamics and electrostatics; force laws and equations of motion; and the precession of the perihelion of Mercury. The reader is also introduced to the nature of gravitational radiation; its generation and detection; and the relation between the metric tensor and gravitational potentials. The book concludes with a chapter on black holes and how they may manifest themselves to the astronomer. This monograph will appeal not only to professional physicists but also to undergraduates in physics who want to know a great deal about gravitation and relativity.
E-bok
PDF, Engelska, 2014756 kr
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A Survey of Hidden-Variables Theories is a three-part book on the hidden-variable theories, referred in this book as ""theories of the first kind"". Part I reviews the motives in developing different types of hidden-variables theories. The quest for determinism led to theories of the first kind; the quest for theories that look like causal theories when applied to spatially separated systems that interacted in the past led to theories of the second kind. Parts II and III further describe the theories of the first kind and second kind, respectively. This book is written to make the literature on hidden variables comprehensible to those who are confused by the original papers with their controversies, and to average reader of physics papers.
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PDF, Engelska, 2013763 kr
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Theory of Intermolecular Forces deals with the exposition of the principles and techniques of the theory of intermolecular forces. The text focuses on the basic theory and surveys other aspects, with particular attention to relevant experiments. The initial chapters introduce the reader to the history of intermolecular forces. Succeeding chapters present topics on short, intermediate, and long range atomic interactions; properties of Coulomb interactions; shape-dependent forces between molecules; and physical adsorption. The book will be of good use to experts and students of quantum mechanics and advanced physical chemistry.
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PDF, Engelska, 2013756 kr
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Nuclear Physics is concerned primarily with low-energy nuclear physics rather than high-energy or elementary particle physics, although examples from particle physics are used where appropriate. The Fermi Golden Rule is given emphasis throughout. This text consists of six chapters and begins with an introduction to nuclear physics, followed by a discussion on nuclear structure at a fairly basic level. This book also discusses the nuclear periodic table, radioactivity, and unstable nuclear states as well as nuclear mass and nuclear binding energy. Spin and static electric and magnetic moments are then examined from the perspective of quantum mechanics rather than through the vector model of angular momentum. Quantum mechanics is also used to treat nuclear decay in the next chapter. The theory of nuclear reactions is discussed by highlighting the concepts of cross-section and resonance. The penultimate chapter deals with self-sustaining nuclear reactions, with particular reference to the nuclear physics of fission reactors and the nuclear aspects of stellar physics. This chapter ends with the application of the theory of thermonuclear reactions to the design of a thermonuclear power plant. The final chapter is devoted to charge independence and isospin in low-energy nuclear physics.
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Engelska, 2013756 kr
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Cosmic Rays is a two-part book that first elucidates the discovery, nature, and particles produced by cosmic rays. This part also looks into the primary cosmic radiation; radio waves from the galaxy; extensive air showers; origin of cosmic rays; and other cosmic radiations. Part 2 consists of reprinted papers involving cosmic rays. Papers 1 to 10 treat the nature of the radiation, arranged chronologically; in Papers 11 to 16 the scene moves away from the Earth.
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PDF, Engelska, 2016763 kr
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The Old Quantum Theory explains how the classical laws were modified by Planck, Einstein, Rutherford, Bohr, and other contributors to account for atomic phenomena, comprising the development of quantum theory from its start at the very end of the 19th century until the beginning of the 20th century. This book begins by discussing Planck''s discovery of his radiation law, followed by Einstein''s introduction to quanta. Next is a description of the Rutherford model of the atom and Bohr''s postulates, which are confirmed by the Franck-Hertz experiment. This selection concludes with a description of how Bohr''s theory could explain the main features of the atomic spectra. A brief summary of other important developments in the period are also elaborated. This publication is beneficial to students and researchers conducting work on the history of quantum mechanics from the 1900s to the development of wave mechanics.
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PDF, Engelska, 2014756 kr
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Group Theory in Quantum Mechanics: An Introduction to its Present Usage introduces the reader to the three main uses of group theory in quantum mechanics: to label energy levels and the corresponding eigenstates; to discuss qualitatively the splitting of energy levels as one starts from an approximate Hamiltonian and adds correction terms; and to aid in the evaluation of matrix elements of all kinds, and in particular to provide general selection rules for the non-zero ones. The theme is to show how all this is achieved by considering the symmetry properties of the Hamiltonian and the way in which these symmetries are reflected in the wave functions. This book is comprised of eight chapters and begins with an overview of the necessary mathematical concepts, including representations and vector spaces and their relevance to quantum mechanics. The uses of symmetry properties and mathematical expression of symmetry operations are also outlined, along with symmetry transformations of the Hamiltonian. The next chapter describes the three uses of group theory, with particular reference to the theory of atomic energy levels and transitions. The following chapters deal with the theory of free atoms and ions; representations of finite groups; the electronic structure and vibrations of molecules; solid state physics; and relativistic quantum mechanics. Nuclear physics is also discussed, with emphasis on the isotopic spin formalism, nuclear forces, and the reactions that arise when the nuclei take part in time-dependent processes. This monograph will be of interest to physicists and mathematicians.