5 edition of **Mathematical Foundations of Quantum Statistics** found in the catalog.

Mathematical Foundations of Quantum Statistics

Aleksandr Iakovlevich Khinchin

- 52 Want to read
- 25 Currently reading

Published
**June 1949**
by Dover Pubns
.

Written in English

- Science/Mathematics

The Physical Object | |
---|---|

Format | Paperback |

ID Numbers | |

Open Library | OL9540437M |

ISBN 10 | 0486697576 |

ISBN 10 | 9780486697574 |

Quantum mechanics was still in its infancy in when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published Mathematical Foundations of Quantum Mechanics--a revolutionary book that for the first time provided a rigorous mathematical framework for the new science. Robert . "Mathematical Foundations of Quantum Mechanics" was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics/5.

There exist several popular books on his personality and various collections focusing on his achievements in mathematics, computer science, and economy. Strangely enough, to date no detailed appraisal of his seminal contributions to the mathematical foundations of quantum physics has appeared. "Mathematical Foundations of Quantum Mechanics" was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics.

Review: A. Y. Khinchin, Mathematical foundations of quantum statistics Mackey, George W., Bulletin of the American Mathematical Society, ; Book Review: J. P. Mayberry. Foundations of Mathematics in the Theory of Sets Bassler, O. Bradley, Notre Dame Journal of Formal Logic, ; Mathematical Foundations of Quantum Mechanics Maeda, Fumitomo, Cited by: 1. Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics/5(30).

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Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device by: out of 5 starsreview over mathematical foundations of quantum statistics. this book explains several topics of this classical subjet in a modern way.

It begins whit a brieffly introduction to the physic problem, in order to introduce the mathematical problem.4/5(1). This item: Mathematical Foundations of Quantum Statistical Mechanics: Continuous Systems (Mathematical Physics Studies) Set up a giveaway.

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Get FREE SHIPPING on Orders of $35+ Customer information on COVID B&N Outlet Membership Educators Gift Cards Stores & Events HelpPages: Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum by: Mathematicians with a basic understanding of quantum physics and physicists interested in the topic will benefit from this practical text.

The treatment examines the basis of quantum statistical computational methods, the determination of the mean values of occupation numbers, the foundations of the statistics of photons and material particles, and statistical.

The books he wrote on Mathematical Foundations of Information Theory, Statistical Mechanics and Quantum Statistics are still in print in English translations, published by Dover. Like William Feller and Richard Feynman he combines a complete mastery of his subject with an ability to explain clearly without sacrificing mathematical rigour/5(11).

The contains of a course in Mathematical Foundations of Quantum Mechanics must include mainly two branches of Mathematics: Group theory and Operator theory. The corresponded chapters in the book are short. This book, written in a high level, is difficult to be understood by undergraduate by: This is a brief introduction to the mathematical foundations of quantum mechanics based on lectures given by the author to ts at the Delhi Centre of the Indian Statistical Institute in order to initiate active research in the emerging field of quantum probability.

The material in theBrand: Hindustan Book Agency. This book is a self-contained advanced textbook on mathematical-physical aspects of quantum many-body systems, which starts with pedagogical presentation of necessary background and continues to subjects of active research, including topological phases of : Springer International Publishing.

Get this from a library. Mathematical foundations of quantum statistics. [A I︠A︡ Khinchin]. Publisher Summary. In the foundations of quantum theory, the role of C*-algebras theory is increasing. In that context, some of the recent developments extending the Gelfand theory of commutative C*-algebras into the noncommutative domain may eventually prove to be of interest.

Gelfand representation is an isometric isomorphism for C*-algebras. This graduate textbook provides a unified view of quantum information theory.

Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides lucid explanations of. 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 Edition: 1. The book Mathematical Foundations of Quantum Mechanics () by John von Neumann is an important early work in the development of quantum theory.

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, ) written together with my colleagues V. Gerasimenko and P. Malyshev. Taken.

"This book is meant to be used for a first course in quantum mechanics and assumes that the student has taken a modern physics course and has had mathematics through differential equations. The book reviews how to sketch wave functions for a variety of 1-D potentials and addresses the standard calculations for special cases.

Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics.5/5(3).

Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics.

ISBN: OCLC Number: Notes: Originally published: Albany, N.Y.: The Graylock Press, Description: ix, pages. Hughes provides the reader with the equivalent of a B.S. in physics a lucid and accessible introduction to Hilbert space in quantum mechanics.

Other excellent Books addressing quantum mechanics in terms of Hilbert space at the level accessible to first year graduate students include Guido Fano's Mathematical methods of quantum mechanics and T. F. Jordan's Linear /5.The first complete mathematical formulation of this approach, known as the Dirac–von Neumann axioms, is generally credited to John von Neumann 's book Mathematical Foundations of Quantum Mechanics, although Hermann Weyl had already referred to Hilbert spaces (which he called unitary spaces).Quantum mechanics was still in its infancy in when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published Mathematical Foundations of Quantum Mechanics--a revolutionary book that for the first time provided a rigorous mathematical framework for the new science.