Weak convergence of states in quantum statistical mechanics

Doklady Mathematics

Volumn 76, Issue 3, 2007, Pages 958-961

  Kozlov, V V ^a   Smolyanov, O G ^b  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

HAMILTONIANS; HILBERT SPACES; TOPOLOGY;

HAMILTONIAN SYSTEM; MICROCANONICAL DISTRIBUTION; QUANTUM SYSTEMS;

STATISTICAL MECHANICS;

EID: 37849022987     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1064562407060373     Document Type: Article

References (11)

1. J. von Neumann, Z. Phys. 57, 30-70 (1929).
2. V. V. Kozlov, Gibbs and Poincaré Heat Equilibria (Izhevsk, 2002) [in Russian].
3. J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton Univ. Press, Princeton, N.J., 1955; Nauka, Moscow, 1964).
4. V. V. Kozlov and O. G. Smolyanov, Dokl. Math. 74, 910-913 (2006) [Dokl. Akad. Nauk 411, 587-590 (2006)].
5. R. Alicki and M. Fannes, Quantum Dynamical Systems (Oxford Univ. Press, Oxford, 2001).
6. M. Ohia and D. Petz, Quantum Entropy and Its Use (Springer-Verlag, Berlin, 1993).
7. A. Poincaré, in Selected Works (Nauka, Moscow, 1974), 3, pp. 385-412 [in Russian].
8. J. E. Mayer and M. G. Mayer, Statistical Mechanics, 2nd ed. (Wiley, New York, 1977; Mir, Moscow, 1980).
9. N. N. Bogolyubov and N. N. Bogolyubov, Jr., An Introduction to Quantum Statistical Mechanics (Nauka, Moscow, 1984) [in Russian].
10. J. W. Gibbs, Elementary Principles in Statistical Mechanics (Yale Univ. Press, New Haven, Conn., 1902; Gostekhizdat, Moscow, 1946).
11. I. E. Farquahar, Ergodic Theory in Statistical Mechanics (London, 1964).