DOI: 10.1007/bf01217962. Quantum system in contact with a thermal environment: Rigorous treatment of a simple model

Quantum system in contact with a thermal environment: Rigorous treatment of a simple model

10.1007/bf01217962

Crossref journal-article

Springer Science and Business Media LLC

Communications in Mathematical Physics (297)

Bibliography

de Smedt, P., DÃ¼rr, D., Lebowitz, J. L., & Liverani, C. (1988). Quantum system in contact with a thermal environment: Rigorous treatment of a simple model. Communications in Mathematical Physics, 120(2), 195â231.

Authors 4

P. de Smedt (first)
D. Dürr (additional)
J. L. Lebowitz (additional)
C. Liverani (additional)

References 28 Referenced 20

Leggett, A. J., Chakravarty, S., Dorsey, A. T., Matthew, P. A., Fisher, A., Garg, A., Zwerger, W.: Rev. Mod. Phys.59, 1 (1987); (10.1103/RevModPhys.59.1) / Rev. Mod. Phys. by A. J. Leggett (1987)
Chakravarty, S., Leggett, A. J.: Phys. Rev. Lett.45, 211 (1981); / Phys. Rev. Lett. by S. Chakravarty (1981)
Leggett, A. J., Anupam Garg: Phys. Rev. Lett.54, 857 (1985); (10.1103/PhysRevLett.54.857) / Phys. Rev. Lett. by A. J. Leggett (1985)
Grabert, H., Weiss, U.: Phys. Rev. Lett.54, 1605 (1985); (10.1103/PhysRevLett.54.1605) / Phys. Rev. Lett. by H. Grabert (1985)
Grabert, H., Schramm, P., Ingold, S.-L.: Phys. Rev. Lett.58, 1285 (1987); (10.1103/PhysRevLett.58.1285) / Phys. Rev. Lett. by H. Grabert (1987)
Fannes, M., Nachtergaele, B., Verbeure, A.: Quantum tunneling in a spin-boson model, Preprint.
Schnud, A.: JLTP,49, 609 (1982) (10.1007/BF00681904) / JLTP by A. Schnud (1982)
For rigorous results see, D�rr, D., Goldstein, S., Lebowitz, J. L.: Commun. Math. Phys.78, 507 (1981) and references therein (10.1007/BF02046762) / Commun. Math. Phys. by D. D�rr (1981)
Chandrasekhar, S.: Rev. Mod. Phys.15, 1 (1934) (10.1103/RevModPhys.15.1) / Rev. Mod. Phys. by S. Chandrasekhar (1934)
Nelson, Wax eds: Selected papers on Noise and Stochastic process. New York: Dover 1954 / Selected papers on Noise and Stochastic process (1954)
Ford, G. W., Kac, M., Mazur, P.: J. Math. Phys.6, 504 (1965); see also, Benguria, K., Kac, M.: Phys. Rev. Lett.46, 1 (1981) (10.1063/1.1704304) / J. Math. Phys. by G. W. Ford (1965)
Caldeira, A. O., Legget, A. J.: Physica 121A, 587?616, (1963) / Physica by A. O. Caldeira (1963)
Maassen, H.: J. Stat. Phys.34, 239 (1984) (10.1007/BF01770357) / J. Stat. Phys. by H. Maassen (1984)
Lewis, J. T., Maasen, H.: In: Quantum probability and applications. Arcadi, L., Frigerio, A., Gorini, V., (eds), Lecture Notes in Mathematics, vol.1055. Berlin, Heidelberg, New York: Springer 1984 / Quantum probability and applications / Lecture Notes in Mathematics by J. T. Lewis (1984)
Rubin, R. J.: J. Math. Phys.1, 309 (1960);2, 373 (1961); Phys. Rev.131, 964 (1963). See also references there in to earlier work by others on this model (10.1063/1.1703664) / J. Math. Phys. by R. J. Rubin (1960)
Bray, A. J., Moore, M. A.: Phys. Rev. Lett.49, 1545 (1982) (10.1103/PhysRevLett.49.1545) / Phys. Rev. Lett. by A. J. Bray (1982)
D�rr, D., Naroditsky, V., Zanghi, N.: Lecture Notes in Physics vol.,262, p. 187. Berlin, Heidelberg, New York: Springer 1985 / Lecture Notes in Physics vol.,262 by D. D�rr (1985)
Caldeira, A. O., Leggett, A. J.: Phys. Rev. Lett.46, 211 (1981) (10.1103/PhysRevLett.46.211) / Phys. Rev. Lett. by A. O. Caldeira (1981)
Ford, G. W., Kac, M.: J. Stat. Phys.46, 803 (1987) (10.1007/BF01011142) / J. Stat. Phys. by G. W. Ford (1987)
Schramm, P., Grabert, H.: J. Stat. Phys. (to appear)
Feynman, R. P., Vernon, F. L.: Ann. Phys. (NY)24, 118 (1963) (10.1016/0003-4916(63)90068-X) / Ann. Phys. by R. P. Feynman (1963)
Bratteli, O., Robinson, D. W.: Operator algebras and quantum statistical mechanics I?II. Berlin, Heidelberg, New York: Springer 1979 (10.1007/978-3-662-02313-6) / Operator algebras and quantum statistical mechanics I?II by O. Bratteli (1979)
Simon, B.: Functional integration and quantum physics. New York: Academic Press 1979 / Functional integration and quantum physics by B. Simon (1979)
cf Accardi, L., Frigerio, A., Lewis, J. T.: Quantum stochastic processes, Publ. Res. Inst. Math. Sci., Kyoto Univ.18, 97 (1982) (10.2977/prims/1195184017) / Publ. Res. Inst. Math. Sci., Kyoto Univ. by L. Accardi (1982)
Winnink, M.: In: Statistical Mechanics and field theory. Sen, R. N., Weill, C., (eds).
Reed, M., Simon, B.: Functional analysis. New York: Academic Press 1980 / Functional analysis by M. Reed (1980)
Abraham, D., Barouch, E., Gallavotti, G., Martin-L�f., A.: Dynamics of a local perturbation in thex-y model (I?II), Studies in Applied Math.50, 121?131, (1971) and52, 211?218, (1972) (10.1002/sapm1971502121) / Studies in Applied Math. by D. Abraham (1971)
Lanford III, O. E., Lebowitz, J. L: Time evolution and ergodic properties of harmonic systems. Lecture Notes in Physics vol.38, Berlin, Heidelberg, New York: Springer 1975 and Lanford III, O. E., Lebowitz, J. L., Lieb, E. H.: J. Stat. Phys.16, (1977) / Time evolution and ergodic properties of harmonic systems / Lecture Notes in Physics by O. E. Lanford III (1975)

Dates

Type	When
Created	20 years, 6 months ago (Feb. 25, 2005, 1:22 p.m.)
Deposited	6 years, 4 months ago (April 30, 2019, 5:37 a.m.)
Indexed	1 month, 4 weeks ago (July 4, 2025, 9:41 a.m.)
Issued	37 years, 3 months ago (June 1, 1988)
Published	37 years, 3 months ago (June 1, 1988)
Published Print	37 years, 3 months ago (June 1, 1988)

Funders 0

None

BibTeX

@article{de_Smedt_1988, title={Quantum system in contact with a thermal environment: Rigorous treatment of a simple model}, volume={120}, ISSN={1432-0916}, url={http://dx.doi.org/10.1007/bf01217962}, DOI={10.1007/bf01217962}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={de Smedt, P. and Dürr, D. and Lebowitz, J. L. and Liverani, C.}, year={1988}, month=jun, pages={195–231} }

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