Mathematical Foundations of Quantum Statistics - Brossura

Khinchin, Aleksandr Iakovlevich

Brossura

ISBN 10: 0486400255 ISBN 13: 9780486400259

Casa editrice: Dover Pubns, 2011

Riassunto

In this high-level mathematical treatment, a distinguished Russian mathematician introduces the mathematical underpinnings of quantum statistics in a manner accessible to both mathematicians and physicists. The book is aimed primarily at mathematicians, however, who will need only an elementary grasp of quantum physics to appreciate the author's well-organized and clearly written presentation. Beginning with preliminary concepts in the theory of probability, the text opens with a discussion and complete proofs of the limit theorems used in the main sections of the book. Proceeding to preliminary concepts and general principles of quantum mechanics, it examines the basis of the computational methods of quantum statistics and illustrates the means to achieve the statisticians' most important initial task: the determination of the mean values of occupation numbers. In addition, the foundations of the statistics of photons and material particles receive ample review.
Supplements to the concluding chapter on thermodynamics explore the distribution of a component and its energy, the principle of canonical averaging, symmetric functions on multidimensional surfaces, and other related topics.

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Contenuti:

Preface INTRODUCTION CHAPTER I. PRELIMINARY CONCEPTS OF THE THEORY OF PROBABILITY CHAPTER II. PRELIMINARY CONCEPTS OF QUANTUM MECHANICS CHAPTER III. GENERAL PRINCIPLES OF QUANTUM STATISTICS CHAPTER IV. THE FOUNDATIONS OF THE STATISTICS OF PHOTONS CHAPTER V. FOUNDATIONS OF THE STATISTICS OF MATERIAL PARTICLES CHAPTER VI. THERMODYNAMIC CONCLUSIONS Supplement I. THE STATISTICS OF HETEROGENEOUS SYSTEMS Supplement I I. THE DISTRIBUTION OF A COMPONENT AND ITS ENERGY Supplement III. THE PRINCIPLE OF CANONICAL AVERAGING Supplement IV. THE REDUCTION TO A ONE-DIMENSIONAL PROBLEM IN THE CASE OF COMPLETE STATISTICS Supplement V. SOME GENERAL THEOREMS OF STATISTICAL PHYSICS Supplement VI. SYMMETRIC FUNCTIONS ON MULTI-DIMENSIONAL SURFACES References Index

Product Description:

Book by Khinchin A Y Mathematics

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2011
• ISBN 10: 0486400255
• ISBN 13: 9780486400259
• Rilegatura: Copertina flessibile
• Numero di pagine: 232