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Download Mathematical Foundations of Quantum Statistical Mechanics: Continuous Systems (Mathematical Physics Studies) fb2

by D.Y. Petrina

  • ISBN: 079233258X
  • Category: Math & Science
  • Author: D.Y. Petrina
  • Subcategory: Physics
  • Other formats: lrf mobi txt mbr
  • Language: English
  • Publisher: Springer; 1995 edition (January 31, 1995)
  • Pages: 445 pages
  • FB2 size: 1534 kb
  • EPUB size: 1659 kb
  • Rating: 4.5
  • Votes: 950
Download Mathematical Foundations of Quantum Statistical Mechanics: Continuous Systems (Mathematical Physics Studies) fb2

Authors: Petrina, . This monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of the book "Mathematical Foundations of Classical Statistical Mechanics.

Authors: Petrina, . 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.

Start by marking Mathematical Foundations of Quantum Statistical Mechanics: Continuous .

Start by marking Mathematical Foundations of Quantum Statistical Mechanics: Continuous Systems as Want to Read: Want to Read savin. ant to Read. The states of these systems are described by infinite sequences of statistical operators (reduced density matrices) or Green's functions which satisfy the infinite hierarchy of equations. The investigation of these equations and constructing their solutions is the main subject of this work. Model systems in the theories of superconductivity and superfluidity and other exactly solvable models are studied in detail.

The book Mathematical Foundations of Quantum Mechanics (1932) by John von Neumann is an important early work in the development of quantum theory

The book Mathematical Foundations of Quantum Mechanics (1932) by John von Neumann is an important early work in the development of quantum theory. The book was originally published in German in 1932 by Julius Springer, under the title Mathematische Grundlagen der Quantenmechanik. An English translation by Robert T. Beyer was published in 1955 by Princeton University Press.

Download books for free. Series: Mathematical Physics Studies 17. File: PDF, 1. 6 MB. Читать онлайн.

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Описание: This book contains the proceedings of the QMath 7 Conference on Mathematical Results in Quantum Mechanics held in Prague, Czech Republic, from June 22 to 26, 1998.

Mathematical formulation of quantum mechanics. The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. Such are distinguished from mathematical formalisms for theories developed prior to the early 1900s by the use of abstract mathematical structures, such as Hilbert spaces and operators on these spaces.

This monograph is devoted to quantum statistical mechanics.

Petrina and others published Mathematical Foundations of Classical Statistical Mechanics. Book · January 2002 with 16 Reads. But we expect that this representation can be useful for studying more complicated models and various phenomena. On the Poisson integrals representation in the classical statistical mechanics of continuous systems.

Mathematical Physics Studies. Assembled Product Dimensions (L x W x H). 1 x . 4 x . 4 Inches.

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.

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