Stationary van Hove limit

Journal of Mathematical Physics

Volumn 46, Issue 6, 2005, Pages

  Dereziński, Jan ^a   Früboes, Rafał ^a  

^a UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21844461317     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1904509     Document Type: Article

References (20)

1. Bach, V., Fröhlich, J., and Sigal, I., " Convergent renormalization group analysis for non-selfadjoint operators on Fock space., " Adv. Math. 137, 205 (1998).
2. Bach, V., Fröhlich, J., and Sigal, I., " Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field., " Commun. Math. Phys. 207, 249 (1999).
3. Brattelli, O., and Robinson, D. W., Operator Algebras and Quantum Statistical Mechanics, 2nd ed. (Springer-Verlag, Berlin, 1987), Vol. 1.
4. Davies, E. B., " Markovian master equations., " Commun. Math. Phys. 39, 91 (1974).
5. Davies, E. B., " Markovian master equations II., " Math. Ann. 219, 147 (1976).
6. Davies, E. B., One Parameter Semigroups (Academic, London, 1980).
7. Dereziński, J., and Früboes, R., " Level shift operator and 2nd order perturbation theory., " J. Math. Phys. (to be published).
8. Dereziński, J., and Jakšić, V., " Spectral theory of Pauli-Fierz operators., " J. Funct. Anal. 180, 243 (2001).
9. Dereziński, J., and Jakšić, V., " Return to equilibrium for Pauli-Fierz systems., " Ann. Henri Poincare 4, 739 (2003).
10. Dereziński, J., and Jakšić, V., " On the nature of the Fermi Golden Rule for open quantum systems., " J. Stat. Phys. 116, 411 (2004).
11. Dereziński, J., and Früboes, R., Fermi Golden Rule and open quantum systems. (unpublished).
12. Hille, E., and Phillips, R. S., Functional Analysis and Semigroups (American Mathematical Society, Providence RI, 1957).
13. Kato, T., Perturbation Theory for Linear Operators, 2nd ed. (Springer-Verlag, Berlin, 1976).
14. Lebowitz, J., and Spohn, H., " Irreversible thermodynamics for quantum systems weakly coupled to thermal reservoirs., " Adv. Chem. Phys. 39, 109 (1978).
15. Jakšić, V., and Pillet, C.-A., " On a model for quantum friction II: Fermi's golden rule and dynamics at positive temperature., " Commun. Math. Phys. 176, 619 (1996).
16. Jakšić, V., and Pillet, C.-A., " On a model for quantum friction III: Ergodic properties of the spin-boson system., " Commun. Math. Phys. 178, 627 (1996).
17. Jakšić, V., and Pillet, C.-A., " Mathematical theory of non-equilibrium quantum statistical mechanics., " J. Stat. Phys. 108, 787 (2002).
18. van Hove, L., " Quantum-mechanical perturbations giving rise to a statistical transport equation., " Physica (Utrecht) 21, 517 (1954).
19. van Hove, L., " The approach to equilibrium in quantum statistics., " Physica (Utrecht) 23, 441 (1957).
20. van Hove, L., " Master equations and approach to equilibrium for quantum systems., " in Fundamental Problems in Statistical Mechanics, combined by, E. G. D. Cohen, (North-Holland, Amsterdam, 1962).