Series on the Foundations of Natural Science and Technology – serie

Precipitating atmospheric convection is fundamental to the Earth's weather and climate. It plays a leading role in the heat, moisture and momentum budgets. Appropriate modelling of convection is thus a prerequisite for reliable numerical weather prediction and climate modelling. The current standard approach is to represent it by subgrid-scale convection parameterization.Parameterization of Atmospheric Convection provides, for the first time, a comprehensive presentation of this important topic. The two-volume set equips readers with a firm grasp of the wide range of important issues, and thorough coverage is given of both the theoretical and practical aspects. This makes the parameterization problem accessible to a wider range of scientists than before. At the same time, by providing a solid bottom-up presentation of convection parameterization, this set is the definitive reference point for atmospheric scientists and modellers working on such problems.Volume 1 of this two-volume set focuses on the basic principles: introductions to atmospheric convection and tropical dynamics, explanations and discussions of key parameterization concepts, and a thorough and critical exploration of the mass-flux parameterization framework, which underlies the methods currently used in almost all operational models and at major climate modelling centres. Volume 2 focuses on the practice, which also leads to some more advanced fundamental issues. It includes: perspectives on operational implementations and model performance, tailored verification approaches, the role and representation of cloud microphysics, alternative parameterization approaches, stochasticity, criticality, and symmetry constraints.

This monograph discusses cosmological inflation and provides exact and slow roll solutions. It also reviews new and advanced approaches of exact solutions construction with canonical scalar fields, including application of generating functions methods, the superpotential and many others. This book presents the reduction of the Friedmann equation to the Abel equation, which is a very useful tool in cosmology. It offers new solutions and discusses its properties.Additionally, it touches upon the role of phantom scalar field cosmology and analyzes phantonical models. It describes brane cosmology with scalar fields, providing exact solutions construction using the superpotential method as well as Darboux transformations.This book provides detailed calculations throughout.

The elastic constant (EC) is a very important mechanical property of the these materials and its significance is already well known in literature. This first monograph solely deals with the quantum effects in EC of heavily doped (HD) low dimensional materials. The materials considered are HD quantum confined nonlinear optical, III-V, II-VI, IV-VI, GaP, Ge, PtSb2, stressed materials, GaSb, Te, II-V, Bi2Te3, lead germanium telluride, zinc and cadmium diphosphides, and quantum confined III-V, II-VI, IV-VI, and HgTe/CdTe super-lattices with graded interfaces and effective mass super-lattices. The presence of intense light waves in optoelectronics and strong electric field in nano-devices changes the band structure of semiconductors in fundamental ways, which have also been incorporated in the study of EC in HD low dimensional optoelectronic compounds that control the studies of the HD quantum effect devices under strong fields. The importance of measurement of band gap in optoelectronic materials under intense external fields has also been discussed in this context. The influences of magnetic quantization, crossed electric and quantizing fields, electric field and light waves on the EC in HD semiconductors and super-lattices are discussed.The content of this book finds twenty-five different applications in the arena of nano-science and nano-technology. We The authors have discussed the experimental methods of determining the Einstein Relation, screening length and EC in this context. This book contains circa 200 open research problems which form the integral part of the text and are useful for both PhD aspirants and researchers in the fields of condensed matter physics, materials science, solid state sciences, nano-science and technology and allied fields in addition to the graduate courses in semiconductor nanostructures.

With the development of the scanning tunneling microscope, nanoscience became an important discipline. Single atoms could be manipulated in a controlled manner, and it became possible to change matter at its "ultimate" level; it is the level on which the properties of matter emerge. This possibility enables to construct and to produce devices, materials, etc. with very small sizes and completely new properties. That opens up new perspectives for technology and is in particular relevant in connection with nano-engineering.Nanosystems are unimaginably small and very fast. No doubt, this is an important characteristic. But there is another feature, possibly more relevant, in connection with nanoscience and nanotechnology. The essential point here is that we work at the "ultimate level". This is the smallest level at which the properties of our world emerge, at which functional matter can exist. In particular, at this level biological individuality comes into existence. This situation can be expressed in absolute terms: This is not only the strongest material ever made, this is the strongest material it will ever be possible to make (D Ratner and M Ratner, Nanotechnology and Homeland Security). This is a very general statement. All aspects of matter are concerned here. Through the variation of the composition various forms of matter emerge with different items.Nanosystems are usually small, but they offer nevertheless the possibility to vary the structure of atomic (molecular) ensembles, creating a diversity of new material-specific properties. A large variety of experimental possibilities come into play and flexible theoretical tools are needed at the basic level. This is reflected in the different disciplines: In nanoscience and nanotechnology we have various directions: Materials science, functional nanomaterials, nanoparticles, food chemistry, medicine with brain research, quantum and molecular computing, bioinformatics, magnetic nanostructures, nano-optics, nano-electronics, etc.The properties of matter, which are involved within these nanodisciplines, are ultimate in character, i.e., their characteristic properties come into existence at this level. The book is organized in this respect.

With the development of the scanning tunneling microscope, nanoscience became an important discipline. Single atoms could be manipulated in a controlled manner, and it became possible to change matter at its "ultimate" level; it is the level on which the properties of matter emerge. This possibility enables to construct and to produce devices, materials, etc. with very small sizes and completely new properties. That opens up new perspectives for technology and is in particular relevant in connection with nano-engineering.Nanosystems are unimaginably small and very fast. No doubt, this is an important characteristic. But there is another feature, possibly more relevant, in connection with nanoscience and nanotechnology. The essential point here is that we work at the "ultimate level". This is the smallest level at which the properties of our world emerge, at which functional matter can exist. In particular, at this level biological individuality comes into existence. This situation can be expressed in absolute terms: This is not only the strongest material ever made, this is the strongest material it will ever be possible to make (D Ratner and M Ratner, Nanotechnology and Homeland Security). This is a very general statement. All aspects of matter are concerned here. Through the variation of the composition various forms of matter emerge with different items.Nanosystems are usually small, but they offer nevertheless the possibility to vary the structure of atomic (molecular) ensembles, creating a diversity of new material-specific properties. A large variety of experimental possibilities come into play and flexible theoretical tools are needed at the basic level. This is reflected in the different disciplines: In nanoscience and nanotechnology we have various directions: Materials science, functional nanomaterials, nanoparticles, food chemistry, medicine with brain research, quantum and molecular computing, bioinformatics, magnetic nanostructures, nano-optics, nano-electronics, etc.The properties of matter, which are involved within these nanodisciplines, are ultimate in character, i.e., their characteristic properties come into existence at this level. The book is organized in this respect.

With the development of the scanning tunneling microscope, nanoscience became an important discipline. Single atoms could be manipulated in a controlled manner, and it became possible to change matter at its "ultimate" level; it is the level on which the properties of matter emerge. This possibility enables to construct and to produce devices, materials, etc. with very small sizes and completely new properties. That opens up new perspectives for technology and is in particular relevant in connection with nano-engineering.Nanosystems are unimaginably small and very fast. No doubt, this is an important characteristic. But there is another feature, possibly more relevant, in connection with nanoscience and nanotechnology. The essential point here is that we work at the "ultimate level". This is the smallest level at which the properties of our world emerge, at which functional matter can exist. In particular, at this level biological individuality comes into existence. This situation can be expressed in absolute terms: This is not only the strongest material ever made, this is the strongest material it will ever be possible to make (D Ratner and M Ratner, Nanotechnology and Homeland Security). This is a very general statement. All aspects of matter are concerned here. Through the variation of the composition various forms of matter emerge with different items.Nanosystems are usually small, but they offer nevertheless the possibility to vary the structure of atomic (molecular) ensembles, creating a diversity of new material-specific properties. A large variety of experimental possibilities come into play and flexible theoretical tools are needed at the basic level. This is reflected in the different disciplines: In nanoscience and nanotechnology we have various directions: Materials science, functional nanomaterials, nanoparticles, food chemistry, medicine with brain research, quantum and molecular computing, bioinformatics, magnetic nanostructures, nano-optics, nano-electronics, etc.The properties of matter, which are involved within these nanodisciplines, are ultimate in character, i.e., their characteristic properties come into existence at this level. The book is organized in this respect.

The concepts of the Electron Statistics (ES) and the ES dependent electronic properties are basic pillars in semiconductor electronics and this first-of-its-kind book deals with the said concepts in doping superlattices (SLs), quantum well, quantum wire and quantum dot SLs, effective mass SLs, SLs with graded interfaces and Fibonacci SLs under different physical conditions respectively. The influences of intense radiation and strong electric fields under said concepts have been considered together with the heavily doped SLs in this context on the basis of newly formulated the electron energy spectra in all the cases. We have suggested experimental determinations of the Einstein relation for the Diffusivity-Mobility ratio, the Debye screening length, Elastic Constants and the content of this book finds 25 different applications in the arena of nanoscience and nanotechnology.This book contains hundred open research problems which form the integral part of the text and are useful for both PhD aspirants and researchers. It is written for post graduate students of various departments of different academic organizations, engineers and professionals in the fields of solid state electronics, materials science, solid state sciences, nano-science, nanotechnology and nano materials in general.

In recent years, there has been considerable interest in studying the quantum capacitance (QC) in 2D quantum MOSFETs (QMOSFET) and 1D Nano Wire FET (NWFET) devices of various technologically important materials which find extensive applications in many directions in low dimensional electronics. The 2D and 1D electron statistics in inversion layers of MOSFETs can rather easily be varied by changing the gate voltage which, in turn, brings a change of the surface electric field, the QC depends on the gate-voltage. This first-of-its-kind book deals solely with the QC in 2D MOSFETs of non-linear optical, ternary, quaternary, III-V compounds, II-VI, IV-VI, stressed Kane type, Ge, GaP, Bismuth telluride, Gallium Antimonide and their 1D NWFETs counter parts. The influence of quantizing magnetic field, crossed electric and magnetic fields, parallel magnetic field, have also been considered on the QC of the said devices of the aforementioned materials. The influences of strong light waves and ultra-strong electric field present in nano-devices have also been considered. The accumulation layers of the quantum effect devices of the said materials have also been discussed in detail by formulating the respective dispersion relations of the heavily doped compounds. The QC in 1D MOSFET of the said materials have also been investigated in this context on the basis of newly formulated electron energy spectra in all the cases. The QC in quantum well transistors and magneto quantum well transistors together with CNTFETs have been formulated and discussed in detail along with I-V equations of ballistic QWFETs and NWFETs together with their heavily doped counter parts under different external physical conditions. In this context, experimental determinations are suggested of the Einstein relation for the Diffusivity-Mobility ratio, the Debye screening length, Elastic Constants and the content of this book finds twenty-two different applications in the arena of nanoscience and nanotechnology.This book contains hundred open research problems which form the integral part of the text and are useful for both PhD aspirants and researchers.

This important book provides a vivid introduction to the procedures, techniques, problems and difficulties of computational nano-engineering and design. The reader is given step by step the scientific background information, for an easy reconstruction of the explanations. The focus is laid on the molecular dynamics method, which is well suited for explaining the topic to the reader with just a basic knowledge of physics. Results and conclusions of detailed nano-engineering studies are presented in an instructive style. In summary, the book puts readers immediately in a position to take their first steps in the field of computational nano-engineering and design.

The importance of the effective mass (EM) is already well known since the inception of solid-state physics and this first-of-its-kind monograph solely deals with the quantum effects in EM of heavily doped (HD) nanostructures. The materials considered are HD quantum confined nonlinear optical, III-V, II-VI, IV-VI, GaP, Ge, PtSb2, stressed materials, GaSb, Te, II-V, Bi2Te3, lead germanium telluride, zinc and cadmium diphosphides, and quantum confined III-V, II-VI, IV-VI, and HgTe/CdTe super-lattices with graded interfaces and effective mass super-lattices. The presence of intense light waves in optoelectronics and strong electric field in nano-devices change the band structure of semiconductors in fundamental ways, which have also been incorporated in the study of EM in HD quantized structures of optoelectronic compounds that control the studies of the HD quantum effect devices under strong fields. The importance of measurement of band gap in optoelectronic materials under intense external fields has also been discussed in this context. The influences of magnetic quantization, crossed electric and quantizing fields, electric field and light waves on the EM in HD semiconductors and super-lattices are discussed.The content of this book finds twenty-eight different applications in the arena of nano-science and nano-technology. This book contains 200 open research problems which form the integral part of the text and are useful for both PhD aspirants and researchers in the fields of condensed matter physics, materials science, solid state sciences, nano-science and technology and allied fields in addition to the graduate courses in semiconductor nanostructures. The book is written for post-graduate students, researchers, engineers and professionals in the fields of condensed matter physics, solid state sciences, materials science, nanoscience and technology and nanostructured materials in general.

All sorts of biological activities are processed thermodynamically, and at the utmost fundamental level, the laws of biology must be thermodynamics. However, the current laws of thermodynamics are unable to give reasonable explanation of biological processes. In order to do so, irreversible thermodynamics has been theorized to describe the basic mechanism for the origin of natural order or the development of things (related to developmental biology). The scientific definition of the system theory concept has been obtained and the properties of a biological system can be analyzed by applying principles of it. Irreversible thermodynamics and system theory act as the theoretical foundation for theoretical biology. By applying principles of irreversible thermodynamics and system theory, the axiomatic theory of biology has been developed.

This invaluable book provides a broad and comprehensive introduction to the fascinating and beautiful subject of timeless approaches in physics, focusing the attention in particular on significant models developed recently by the author. It presents relevant and novel perspectives in 21st century theoretical physics as regards the arena of physical processes and its geometry (both in special relativity, quantum mechanics, the quantum gravity domain and about the quantum vacuum). The timeless approach may be used as a source of reference by researchers in theoretical physics and at the same time it is also suitable for graduate students in physics who wish to have an extend view of some of the classic and fundamental models in the subject.

This pioneering monograph solely deals with the Magneto Thermoelectric Power (MTP) in Heavily Doped (HD) Quantized Structures. The materials considered range from HD quantum confined nonlinear optical materials to HgTe/CdTe HD superlattices with graded interfaces and HD effective mass superlattices under magnetic quantization. An important concept of the measurement of the band gap in HD optoelectronic materials in the presence of external photo-excitation has been discussed in this perspective. The influences of magnetic quantization, crossed electric and quantizing fields, the intense electric field on the TPM in HD semiconductors and superlattices are also discussed. This book contains 200 open research problems which form the integral part of the text and are useful for both PhD aspirants and researchers in the various fields for which this particular series is dedicated.

This book presents an advanced-level reorganization of the probability theory of quantum theory based on multiple quantum events in terms of consecutive and conditional probability. This leads to the recognition that the fundamental quantum time evolution equation is the Generalized Born's Rule instead of the Schrödinger equation, which has a valid, though secondary, role in one model of the axioms of quantum theory. That model is usually called the Schrödinger picture. So, this approach is fully consistent with textbook quantum theory. This new approach clarifies the 'paradoxes' in quantum theory of entanglement and collapse. There are few references to classical physics, given that this is a new stand-alone axiomatic presentation of quantum theory. Notice that this is not an 'interpretation' of quantum theory as that word is usually understood. The intended audience consists of scientists, philosophers and students who preferably have some previous knowledge of quantum theory.

This book presents a comprehensive study of zero-dimensional (0D) quantum systems — including Quantum Dots (QDs), magneto-quantum MOSFETs, quantum well field-effect transistors (QWFETs), magneto size-quantized systems, magneto quantum well superlattices (SLs), magneto negative-ion potential islands (NIPIs), and quantum dot superlattices (QDSLs) — which are central to low-dimensional electronics, nanotechnology, and quantum device engineering. It investigates key properties such as Magneto Thermoelectric Power (MTP) in nanoscale thermoelectric conversion, Einstein's Photoemission (EP) in semiconductor nanostructures, Activity Coefficients (AC) in confined carrier systems, and carrier contributions to elastic constants (CEC) in advanced quantum materials.The text covers a wide range of semiconductors and nanostructured compounds, including CdGeAs2, Cd3As2, III-V, II-VI materials, GaP, Ge, Te, PtSb2, HgTe, Pb(1-x)GexTe, GaSb, stressed n-InSb, Bi, IV-VI and II-V systems, Bi2Te3, Sb, Zn3P2, three-dimensional quantized NIPIs, strained superlattices with graded interfaces, and effective-mass engineered HgTe/CdTe SLs. We have investigated the quantum signatures for the said systems with respect to Quantum Capacitance, ID-VD equation, the relaxation time and the Raghi-Leduc coefficient respectively. We have derived the complex distribution function for HD materials which generate three new concepts We have also suggested experimental methods for the determination of Einstein's relation, the Elastic constants, and the Debye screening length together with the fact that the book covers 24 different applications in the field of quantized materials.This book contains circa 250 multi-dimensional open research problems which form the integral part of the text and are useful for both PhD aspirants and researchers. It is written for post graduate students of various departments of different academic organizations, engineers and professionals in the fields of solid state electronics, materials science, solid state sciences, nano-science, nanotechnology and nano materials in general. This book will be invaluable to all those researching in academic and industrial laboratories in the said cases worldwide.

In principle, the elements of space and time cannot be measured. Therefore, the following question arises: How are reality and space-time related to each other? In this book, it is argued on the basis of many facts that reality is not embedded but projected onto space and time. We can never make statements about the actual reality outside (basic reality), but we can “only” form pictures of it. These are pictures of the same reality on different levels. From this point of view, the “hard” objects (matter) and the products of the mind are similar in character.

Information about the reality outside flow via our sense organs into the body, and the brain forms a picture of reality. It is argued that the symbols in the picture have in general no similarity with the objects in the outside world, and many facts support such a view. This conception is discussed in connection with quantum reality. In particular, the role of space and time within quantum theory is also investigated from the historical point of view, highlighting the original ideas. New aspects are covered in connection with the particle concept, particle–wave dualism, locality, the time operator, the superposition principle, and the role of the observer.

How do we get an idea from the physical world? There is basically only one possibility, namely the dialogue with nature, i.e. we create a theoretical conception of the world by thinking, and then we check this conception with the help of measuring instruments. In this connection the following question arises: Does there exist for each element of the theory an element-specific deflection at the measuring instrument? In other words, has each element of the theory a counterpart in the actual reality? If not, then the theory contains metaphysical elements, i.e. elements which have no counterpart in reality. In this book it is argued that there are obviously no theoretical conceptions of the world which are free of metaphysical elements. This is not only valid in connection with matter but also for the conceptions of space and time. The consequences in connection with modern conceptions of the world are outlined.

The book of Erwin Schrödinger about life evokes a variety of basic questions concerning the understanding of life in terms of modern physics rather than biochemistry. Problems of organization and regulation of biological systems cannot be understood by revealing only the chemical processes of the living state. A group of reputable physicists — among them the followers of Heisenberg and Fröhlich — and biologists came to this same conclusion through several workshops on this topic. This book contains their contributions, written from different viewpoints of theoretical physics and modern biology. These articles are valuable not only for understanding life, but also for creating new and non-invasive diagnostic and therapeutic tools in medicine; they also contribute importantly to a deeper understanding of evolutionary processes, including the development of consciousness.

In recent years there has been considerable interest in studying the DENSITY-OF-STATES (DOS) functions and Related Applications in Quantized Structures of different technologically important materials in low dimensional electronics. The concept of DOS function is of fundamental importance for not only the characterization of semiconductor nanostructures but also in the study of the carrier transport in quantum effect devices. The acoustic mobility limited momentum relaxation time is inversely proportional to the respective DOS function of a particular semiconductor and the DOS function, in turn, is connected to the twenty five important transport topics of quantum effect devices namely the Landau Dia and Pauli's Para Magnetic Susceptibilities, the Einstein's Photoemission, the Einstein Relation, the Debye Screening Length, the Generalized Raman gain, the Normalized Hall coefficient, the Fowler-Nordheim Field Emission, the Gate Capacitance, the Thermoelectric Power, the Plasma Frequency, the Magneto-Thermal effect in Quantized Structures, the Activity coefficient, the Reflection coefficient, the Heat Capacity, the Faraday rotation, the Optical Effective Mass, the Carrier contribution to the elastic constants, the Diffusion coefficient of the minority carriers, the Nonlinear optical response, the Third order nonlinear optical susceptibility, the Righi-Leduc coefficient, the Electric Susceptibility, the Electric Susceptibility Mass, the Electron Diffusion Thermo-power and the Hydrostatic Piezo-resistance Coefficient respectively.This first-of-a-kind monograph investigates the DOS function and the aforementioned applications in quantized structures of tetragonal and non-linear optical, III-V, II-VI, Gallium Phosphide, Germanium, Platinum Antimonide, stressed, IV-VI, Lead Germanium Telluride, II-V, Zinc and Cadmium diphosphides and Bismuth Telluride respectively. We have also formulated the same and the allied physical properties of III-V, II-VI, IV-VI and HgTe/CdTe quantum well Heavily Doped (HD) superlattices with graded interfaces under magnetic quantization, III-V, II-VI, IV-VI and HgTe/CdTe HD effective mass superlattices under magnetic quantization, quantum confined effective mass superlattices and superlattices of HD optoelectronic materials with graded interfaces in addition to other quantized structures respectively.This book covers from elementary applications in the first chapter up to rather advanced investigations in the later chapters. We have suggested experimental determinations of the Einstein relation for the Diffusivity-Mobility ratio, the Debye screening length and Elastic Constants in various types of quantized structures under different physical conditions. This book contains 222 current open research problems which form an integral part of the text and are useful for both aspiring students and researchers. It is written for graduate / post graduate students, engineers and professionals in the fields of condensed matter physics, solid state sciences, materials science, nanoscience, nanotechnology and nanostructured materials in general and this book will be invaluable to all those researching in academic and industrial laboratories in the said cases worldwide.

Grasping Reality addresses the methodology of a sophisticated realistic approach to scientific as well as everyday recognition by using schemes and interpretative constructs to analyze theories and the practice of recognition from a hypothesis-realistic vantage point.The three main theses are: (1) Any “grasping” of real objects, processes, entities etc. is deeply dependent on scheme interpretations and interpretative constructs — in short, on using schemes and constructs; the same applies to any sophisticated actions encroaching on reality; (2) a sophisticated interpretation-dependent realism is sketched out and defended from a methodological, non-foundational, epistemological point of view called pragmatic realism; (3) the most provocative thesis is generalized from the role of the well-known preparationist interpretation of quantum theory to everyday knowledge — the interpretative structuring and preparing of the experimental make-up as known in quantum mechanics is not just a special case but the rather general case of gaining any knowledge in science and everyday recognition.An appendix provides an overview regarding a realistic and pragmatic philosophy of technology, including the so-called new information technologies.