@article{AIHPA_1991__55_3_805_0,
author = {Goderis, D. and Maes, C.},
title = {Constructing quantum dissipations and their reversible states from classical interacting spin systems},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {54},
year = {1991},
pages = {805-828},
mrnumber = {1141715},
zbl = {0742.60106},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1991__55_3_805_0}
}
Goderis, D.; Maes, C. Constructing quantum dissipations and their reversible states from classical interacting spin systems. Annales de l'I.H.P. Physique théorique, Tome 54 (1991) pp. 805-828. http://gdmltest.u-ga.fr/item/AIHPA_1991__55_3_805_0/
[1] , and , Relativistic Schrödinger Operators: Asymptotic Behavior of the Eigenfunctions, J. Funct. Anal., Vol. 91, 1990, pp. 117-142. | MR 1054115 | Zbl 0716.35006
[2] and , Quantum Physics. A Functional Integral Point of View, Springer-Verlag, New York/Heidelberg/Berlin, 1981. | MR 628000 | Zbl 0461.46051
[3] , Functional Integration and Quantum Physics, New York, Academic Press, 1979. | MR 544188 | Zbl 0434.28013
[4] , Feynman Integrals and the Schrödinger Equation, J. Math. Phys., Vol. 5, 1964, pp. 332-343. | MR 161189 | Zbl 0133.22905
[5] , and , Estimates of Critical Lengths and Critical Temperatures for Classical and Quantum Lattice Systems, J. Stat. Phys., Vol. 20, 1979, pp. 123-162. | MR 523638
[6] and , Quantum Tunneling with Dissipation and the Ising Model over R, J. Stat. Phys., Vol. 41, 1985, pp. 389-423. | MR 814839
[7] and , Absence of exponential clustering in quantum Coulomb fluids, Preprint, 1989. | MR 1028965
[8] , Uniqueness of the translationally invariant ground state in quantum spin systems, Comm. Math. Phys., Vol. 126, 1990, pp. 453-467. | MR 1032868 | Zbl 0691.46055
[9] , and , Completely positive dynamical semigroups of N-level systems, J. Math. Phys., Vol. 17, 1976, p. 821. | MR 406206
[10] , , and , Quantum detailed balance and the KMS condition, Comm. Math. Phys., Vol. 57, 1977, pp. 97-110. | MR 468989 | Zbl 0374.46060
[11] , On the generators of dynamical semigroups, Comm. Math. Phys., Vol. 48, 1976, p. 119. | MR 413878 | Zbl 0343.47031
[12] , and , Quantum detailed balance, Ann. Inst. Henri Poincaré, Vol. 41, 1984, p. 25. | Numdam | MR 760124 | Zbl 0581.46065
[13] and , Relaxation of the bose-gas, Lett. Matt. Phys., Vol. 9, 1985, p. 93. | MR 785861
[14] , De detailed balance voorwaarde en thermodynamisch evenwicht, Ph. D. Thesis, KUL, 1984.
[15] , Gibbs Measures and Phase Transitions, De Gruyter Studies in Mathematics, 1988. | MR 956646 | Zbl 0657.60122
[16] , Interacting Particle Systems, Springer Verlag, New York, 1985. | MR 776231 | Zbl 0559.60078
[17] and , Operator Algebras and Quantum Statistical Mechanics, Vol. I and II, Springer-Verlag, 1979, 1981. | Zbl 0421.46048 | Zbl 0463.46052
[18] and , Quantum Dynamical Semigroups and Applications, Lecture Notes in Physics, 286, Springer-Verlag, New York, 1981. | MR 911678 | Zbl 0652.46055
[19] , and , Energy-Entropy Inequalities for classical lattice systems, J. Stat. Phys., Vol. 29, 1982, pp. 541-595. | MR 704587
[20] and , Methods of Modern Mathematical Physics II, Fourier Analysis, Self-Adjointness, Academic Press, New York, 1975. | MR 493420 | Zbl 0308.47002
[21] and , Global thermodynamic stability and correlation inequalities, J. Math. Phys., Vol. 19, 1978, p. 558. | MR 484203