Adiabatic theorems and reversible isothermal processes

Letters in Mathematical Physics

Volumn 72, Issue 2, 2005, Pages 153-163

  Abou Salem, Walid K ^a   Fröhlich, Jürg ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Adiabatic theorem; Isothermal processes; Reversible processes

Indexed keywords

EID: 21644480581     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11005-005-4838-1     Document Type: Article

References (23)

1. Abou-Salem, W. K. and Fröhlich, I: Status of the fundamental laws of thermodynamics, in preparation.
2. Jaksić, V. and Fillet, C.-A.: On a model of quantum friction II: Fermi's golden rule and dynamics at positive temperature, Comm. Math. Phys. 176 (1996), 619-644.
3. Jaksić, V. and Fillet, C.-A.: On a model of quantum friction III: Ergodic properties of the spin-boson system, Comm. Math. Phys. 178 (1996), 627-651.
4. Bach, V., Fröhlich, J. and Sigal, I. M.: Return to equilibrium, J. Math. Phys. 41 (2000), 3985-4060.
5. Merkli, M.: Positive commutators in non-equilibrium quantum statistical mechanics, Comm. Math. Phys. 223 (2001), 327-362.
6. Fröhlich, J. and Merkli, M.: Another return of "return to equilibrium", Comm. Math. Phys. 251 (2004), 235-262.
7. Robinson, D. W.: Return to equilibrium, Comm. Math. Phys. 31 (1973), 171-189.
8. Fröhlich, J., Merkli, M., Ueltschi, D. and Schwarz, S.: Statistical mechanics of thermodynamic processes, in: A garden of quanta, World Sci. Publishing, River Edge, New Jersey, 2003, 345-363.
9. Haag, R., Hugenholtz, N. M. and Winnink, M.: On equilibrium states in quantum statistical mechanics, Comm. Math. Phys. 5 (1967), 215-236.
10. Bratelli, O. and Robinson, D. W.: Operator Algebras and Quantum Statistical Mechanics I, II, Texts and Monographs in Physics, Springer-Verlag, Berlin, 1987.
11. Abou-Salem, W. K.: PhD thesis (2005).
12. Abou-Salem, W. K. and Fröhlich, J., in preparation.
13. Avron, J. E. and Elgart, A.: Adiabatic theorem without a gap condition, Comm. Math. Phys. 203 (1999), 445-463.
14. Teufel, S.: A note on the adiabatic theorem, Lett. Math. Phys. 58 (2001), 261-266.
15. Reed, M. and Simon, B.: Methods of Modern Mathematical Physics, vol. II, Academic Press, New York, 1975.
16. Yosida, K.: Functional Analysis, 6th edn., Springer-Verlag, Berlin, 1998.
17. Abou-Salem, W. K. and Fröhlich, I: Adiabatic theorem for resonances, in preparation.
18. Fröhlich, J. and Pfeifer, P.: Generalized time-energy uncertainty relations and bounds on lifetimes of resonances, Rev. Mod. Phys. 67 (1995), 759-779.
19. Ruelle, D.: Statistical Mechanics: Rigorous Results, World Scientific, Singapore, 1999.
20. Ruelle, D.: Entropy production in quantum spin systems, Comm. Math. Phys. 224 (2001), 3-16.
21. Fröhlich, I, Merkli, M. and Ueltschi, D.: Dissipative transport: thermal contacts and tunnelling junctions, Ann. Henri Poincaré 4 (2003), 897-945.
22. Abou-Salem, W K.: An adiabatic theorem for non-equilibrium steady states, in preparation.
23. Jaksic, V. and Fillet, C.-A.: Non-equilibrium steady states of finite quantum systems coupled to thermal reservoirs, Comm. Math. Phys. 226 (2002), 131-162.