Author: Aleksandr I?Akovlevich Khinchin Publisher: Courier Corporation ISBN: 9780486601472 Category : Mathematics Languages : en Pages : 212
Book Description
Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.
Author: George W. Mackey Publisher: Courier Corporation ISBN: 0486154475 Category : Mathematics Languages : en Pages : 162
Book Description
This graduate-level text introduces fundamentals of classical mechanics; surveys basics of quantum mechanics; and concludes with a look at group theory and quantum mechanics of the atom. 1963 edition.
Author: A.R. Marlow Publisher: Elsevier ISBN: 0323141188 Category : Science Languages : en Pages : 383
Book Description
Mathematical Foundations of Quantum Theory is a collection of papers presented at the 1977 conference on the Mathematical Foundations of Quantum Theory, held in New Orleans. The contributors present their topics from a wide variety of backgrounds and specialization, but all shared a common interest in answering quantum issues. Organized into 20 chapters, this book's opening chapters establish a sound mathematical basis for quantum theory and a mode of observation in the double slit experiment. This book then describes the Lorentz particle system and other mathematical structures with which fundamental quantum theory must deal, and then some unsolved problems in the quantum logic approach to the foundations of quantum mechanics are considered. Considerable chapters cover topics on manuals and logics for quantum mechanics. This book also examines the problems in quantum logic, and then presents examples of their interpretation and relevance to nonclassical logic and statistics. The accommodation of conventional Fermi-Dirac and Bose-Einstein statistics in quantum mechanics or quantum field theory is illustrated. The final chapters of the book present a system of axioms for nonrelativistic quantum mechanics, with particular emphasis on the role of density operators as states. Specific connections of this theory with other formulations of quantum theory are also considered. These chapters also deal with the determination of the state of an elementary quantum mechanical system by the associated position and momentum distribution. This book is of value to physicists, mathematicians, and researchers who are interested in quantum theory.
Author: D.Y. Petrina Publisher: Springer Science & Business Media ISBN: 940110185X Category : Science Languages : en Pages : 460
Book Description
This monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of the book "Mathematical Foundations of Classical Statistical Mechanics. Continuous Systems" (Gordon & Breach SP, 1989) written together with my colleagues V. I. Gerasimenko and P. V. Malyshev. Taken together, these books give a complete pre sentation of the statistical mechanics of continuous systems, both quantum and classical, from the common point of view. Both books have similar contents. They deal with the investigation of states of in finite systems, which are described by infinite sequences of statistical operators (reduced density matrices) or Green's functions in the quantum case and by infinite sequences of distribution functions in the classical case. The equations of state and their solutions are the main object of investigation in these books. For infinite systems, the solutions of the equations of state are constructed by using the thermodynamic limit procedure, accord ing to which we first find a solution for a system of finitely many particles and then let the number of particles and the volume of a region tend to infinity keeping the density of particles constant. However, the style of presentation in these books is quite different.
Author: Albert Schwarz Publisher: World Scientific ISBN: 981327865X Category : Science Languages : en Pages : 461
Book Description
The book is very different from other books devoted to quantum field theory, both in the style of exposition and in the choice of topics. Written for both mathematicians and physicists, the author explains the theoretical formulation with a mixture of rigorous proofs and heuristic arguments; references are given for those who are looking for more details. The author is also careful to avoid ambiguous definitions and statements that can be found in some physics textbooks.In terms of topics, almost all other books are devoted to relativistic quantum field theory, conversely this book is concentrated on the material that does not depend on the assumptions of Lorentz-invariance and/or locality. It contains also a chapter discussing application of methods of quantum field theory to statistical physics, in particular to the derivation of the diagram techniques that appear in thermo-field dynamics and Keldysh formalism. It is not assumed that the reader is familiar with quantum mechanics; the book contains a short introduction to quantum mechanics for mathematicians and an appendix devoted to some mathematical facts used in the book.
Author: Peter L. Hagelstein Publisher: John Wiley & Sons ISBN: 9780471202769 Category : Technology & Engineering Languages : en Pages : 804
Book Description
* An applied focus for electrical engineers and materials scientists. * Theoretical results supported with real-world systems and applications. * Includes worked examples and self-study questions. * Solutions manual available.
Author: Alexander S. Holevo Publisher: Springer Science & Business Media ISBN: 3540420827 Category : Language Arts & Disciplines Languages : en Pages : 189
Book Description
New ideas on the mathematical foundations of quantum mechanics, related to the theory of quantum measurement, as well as the emergence of quantum optics, quantum electronics and optical communications have shown that the statistical structure of quantum mechanics deserves special investigation. In the meantime it has become a mature subject. In this book, the author, himself a leading researcher in this field, surveys the basic principles and results of the theory, concentrating on mathematically precise formulations. Special attention is given to the measurement dynamics. The presentation is pragmatic, concentrating on the ideas and their motivation. For detailed proofs, the readers, researchers and graduate students, are referred to the extensively documented literature.
Author: D. F. Lawden Publisher: Courier Corporation ISBN: 0486152243 Category : Science Languages : en Pages : 295
Book Description
A thorough exploration of the universal principles of thermodynamics and statistical mechanics, this volume takes an applications-oriented approach to a multitude of situations arising in physics and engineering. 1987 edition.
Author: John von Neumann
Author: Aleksandr I︠A︡kovlevich Khinchin
Author: Aleksandr I?Akovlevich Khinchin
Author: George W. Mackey
Author: A.R. Marlow
Author: D.Y. Petrina
Author: Albert Schwarz
Author: Peter L. Hagelstein
Author: Alexander S. Holevo
Author: D. F. Lawden