Gibbs and Bose-Einstein distributions for an ensemble of self-adjoint operators in classical mechanics

被引：0

作者：

V. P. Maslov

机构：

[1] Lomonosov Moscow State University,

来源：

Theoretical and Mathematical Physics | 2008年 / 155卷

关键词：

Gibbs distribution; Bose-Einstein distribution; Bose condensate; ordered sampling with returns; disordered sampling with returns; Gibbs ensemble;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce the notion of an ensemble of self-adjoint operators and formulate theorems relating the occupation numbers to the number of eigenvalues of the ensemble. We formulate a theorem for the Gibbs distribution in classical mechanics.

引用

页码：775 / 779

页数：4

共 50 条

[1] Gibbs and Bose-Einstein distributions for an ensemble of self-adjoint operators in classical mechanics
Maslov, V. P.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2008, 155 (02) : 775 - 779
[2] On the number of eigenvalues for a Gibbs ensemble of self-adjoint operators
V. P. Maslov
[J]. Mathematical Notes, 2008, 83 : 424 - 427
[3] On the number of eigenvalues for a Gibbs ensemble of self-adjoint operators
Maslov, V. P.
[J]. MATHEMATICAL NOTES, 2008, 83 (3-4) : 424 - 427
[4] Refinement of the Gibbs and Bose-Einstein distributions
Maslov, VP
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2005, 145 (03) : 1749 - 1752
[5] Refinement of the Gibbs and Bose-Einstein Distributions
V. P. Maslov
[J]. Theoretical and Mathematical Physics, 2005, 145 : 1749 - 1752
[6] Self-adjoint extensions of operators in Quantum Mechanics
Filgueiras, C.
Moraes, Fernando
[J]. REVISTA BRASILEIRA DE ENSINO DE FISICA, 2007, 29 (01): : 11 - 13
[7] PERTURBATION OF SELF-ADJOINT OPERATORS BY DIRAC DISTRIBUTIONS
ZORBAS, J
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) : 840 - 847
[8] On the new distribution generalizing the Gibbs, Bose-Einstein, and Pareto distributions
Maslov, V. P.
[J]. MATHEMATICAL NOTES, 2009, 85 (5-6) : 613 - 622
[9] On the new distribution generalizing the Gibbs, Bose-Einstein, and Pareto distributions
V. P. Maslov
[J]. Mathematical Notes, 2009, 85 : 613 - 622
[10] Self-adjoint extensions of operators and the teaching of quantum mechanics
Bonneau, G
Faraut, J
Valent, G
[J]. AMERICAN JOURNAL OF PHYSICS, 2001, 69 (03) : 322 - 331

← 1 2 3 4 5 →