@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] Relativistic Schrödinger Operators: Asymptotic Behavior of the Eigenfunctions, J. Funct. Anal., Vol. 91, 1990, pp. 117-142. | MR 1054115 | Zbl 0716.35006
, and ,[2] Quantum Physics. A Functional Integral Point of View, Springer-Verlag, New York/Heidelberg/Berlin, 1981. | MR 628000 | Zbl 0461.46051
and ,[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] Estimates of Critical Lengths and Critical Temperatures for Classical and Quantum Lattice Systems, J. Stat. Phys., Vol. 20, 1979, pp. 123-162. | MR 523638
, and ,[6] Quantum Tunneling with Dissipation and the Ising Model over R, J. Stat. Phys., Vol. 41, 1985, pp. 389-423. | MR 814839
and ,[7] Absence of exponential clustering in quantum Coulomb fluids, Preprint, 1989. | MR 1028965
and ,[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] Completely positive dynamical semigroups of N-level systems, J. Math. Phys., Vol. 17, 1976, p. 821. | MR 406206
, and ,[10] Quantum detailed balance and the KMS condition, Comm. Math. Phys., Vol. 57, 1977, pp. 97-110. | MR 468989 | Zbl 0374.46060
, , and ,[11] On the generators of dynamical semigroups, Comm. Math. Phys., Vol. 48, 1976, p. 119. | MR 413878 | Zbl 0343.47031
,[12] Quantum detailed balance, Ann. Inst. Henri Poincaré, Vol. 41, 1984, p. 25. | Numdam | MR 760124 | Zbl 0581.46065
, and ,[13] Relaxation of the bose-gas, Lett. Matt. Phys., Vol. 9, 1985, p. 93. | MR 785861
and ,[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] Operator Algebras and Quantum Statistical Mechanics, Vol. I and II, Springer-Verlag, 1979, 1981. | Zbl 0421.46048 | Zbl 0463.46052
and ,[18] Quantum Dynamical Semigroups and Applications, Lecture Notes in Physics, 286, Springer-Verlag, New York, 1981. | MR 911678 | Zbl 0652.46055
and ,[19] Energy-Entropy Inequalities for classical lattice systems, J. Stat. Phys., Vol. 29, 1982, pp. 541-595. | MR 704587
, and ,[20] Methods of Modern Mathematical Physics II, Fourier Analysis, Self-Adjointness, Academic Press, New York, 1975. | MR 493420 | Zbl 0308.47002
and ,[21] Global thermodynamic stability and correlation inequalities, J. Math. Phys., Vol. 19, 1978, p. 558. | MR 484203
and ,