Marian Apostol – författare

The Theory of Quanta has a large area of applicability. Any motion, at the fundamental level, is quantum-mechanical, or includes quantum-mechanical motion. Quantum Mechanics encompasses motion forms from atoms, to atomic nuclei, molecules, chemical binding, electric and magnetic fields, electromagnetic radiation, and transport phenomena. The book includes such quantum-mechanical theories, both in their standard form and original versions, with emphasis on their physical contents.

Quantum Mechanics is a fundamental scientific discipline. At the same time, it is viewed as being very difficult. This book attempts to present the Theory of Quanta as a scientific discipline which has emerged naturally from experiment, making use of general concepts of the Classical Mechanics and enlarging their nature and applicability. According to the historical development, the first natural way of introducing the quantum-mechanical concepts is the matricial theory, followed by the very useful approach of the undulatory theory. The core of the Theory of Quanta is the quasi-classical theory, described at large in the book. The book does not circumvent the so-called philosophical problems of the Quantum Mechanics.

The book describes the quantum-mechanical motion in the context of the quantum field theory. A relativistic particle requires time and length thresholds in order to move quantum-mechanically, as a consequence of its relativistic rest energy and momentum. The subject is discussed mainly in relation to the Dirac equation for the electron and the electromagnetic interaction. Electromagnetic quantum-mechanical effects are computed. Also, the book presents the theory of the electromagnetic field, the relativistic motion, especially the motion of a charge in the electromagnetic field, as well as the electromagnetic field in matter and the surface electromagnetism.

The book includes the basics of the Theory of Fluids, with emphasis on the physical aspects. Special topics of both practical and methodological interest are included. Particular attention is given to the fundamental concepts of the theory of fluids. A balance is pursued between the practical, engineering issues and mathematical techniques, insisting on the physical basis of the concepts and the most direct mathematical methods.

This book deals with especially difficult problems in theoretical physics. This book suggests original approaches, which may lead to new directions of research. This book explores the problem of three interacting bodies, with application to the motion of the Sun, Earth and Moon. The solution of the many-body motion is analyzed, and new ways of investigating it are suggested. The ferromagnet-superconductor junction is analyzed thoroughly, with applications in the modern spintronics. Quantum beats in the decay rate of positronium in matter are investigated, highlighting the possibility of detecting local magnetic interactions. A large part of the book is dedicated to the study of electrolytes, especially in their high-concentration limit, with relevance to the modern investigations of the ionic liquids. An analysis is presented of the quantization problem in curved spaces, by means of an original approach. Finally, the role played by the interaction in neutrino oscillations is discussed. Hopefully, the original approaches presented in this book may help lead to new ways of investigating such interesting phenomena. This book is addressed to science students and researchers with an interest in exploring new ways in the physical sciences.