@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}, pages = {805--828}, publisher = {Gauthier-Villars}, volume = {55}, number = {3}, year = {1991}, mrnumber = {1141715}, zbl = {0742.60106}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1991__55_3_805_0/} }
TY - JOUR AU - Goderis, D. AU - Maes, C. TI - Constructing quantum dissipations and their reversible states from classical interacting spin systems JO - Annales de l'I.H.P. Physique théorique PY - 1991 SP - 805 EP - 828 VL - 55 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1991__55_3_805_0/ LA - en ID - AIHPA_1991__55_3_805_0 ER -
%0 Journal Article %A Goderis, D. %A Maes, C. %T Constructing quantum dissipations and their reversible states from classical interacting spin systems %J Annales de l'I.H.P. Physique théorique %D 1991 %P 805-828 %V 55 %N 3 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1991__55_3_805_0/ %G en %F 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 55 (1991) no. 3, pp. 805-828. http://www.numdam.org/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 | Zbl
, and ,[2] Quantum Physics. A Functional Integral Point of View, Springer-Verlag, New York/Heidelberg/Berlin, 1981. | MR | Zbl
and ,[3] Functional Integration and Quantum Physics, New York, Academic Press, 1979. | MR | Zbl
,[4] Feynman Integrals and the Schrödinger Equation, J. Math. Phys., Vol. 5, 1964, pp. 332-343. | MR | Zbl
,[5] Estimates of Critical Lengths and Critical Temperatures for Classical and Quantum Lattice Systems, J. Stat. Phys., Vol. 20, 1979, pp. 123-162. | MR
, and ,[6] Quantum Tunneling with Dissipation and the Ising Model over R, J. Stat. Phys., Vol. 41, 1985, pp. 389-423. | MR
and ,[7] Absence of exponential clustering in quantum Coulomb fluids, Preprint, 1989. | MR
and ,[8] Uniqueness of the translationally invariant ground state in quantum spin systems, Comm. Math. Phys., Vol. 126, 1990, pp. 453-467. | MR | Zbl
,[9] Completely positive dynamical semigroups of N-level systems, J. Math. Phys., Vol. 17, 1976, p. 821. | MR
, and ,[10] Quantum detailed balance and the KMS condition, Comm. Math. Phys., Vol. 57, 1977, pp. 97-110. | MR | Zbl
, , and ,[11] On the generators of dynamical semigroups, Comm. Math. Phys., Vol. 48, 1976, p. 119. | MR | Zbl
,[12] Quantum detailed balance, Ann. Inst. Henri Poincaré, Vol. 41, 1984, p. 25. | EuDML | Numdam | MR | Zbl
, and ,[13] Relaxation of the bose-gas, Lett. Matt. Phys., Vol. 9, 1985, p. 93. | MR
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 | Zbl
,[16] Interacting Particle Systems, Springer Verlag, New York, 1985. | MR | Zbl
,[17] Operator Algebras and Quantum Statistical Mechanics, Vol. I and II, Springer-Verlag, 1979, 1981. | Zbl
and ,[18] Quantum Dynamical Semigroups and Applications, Lecture Notes in Physics, 286, Springer-Verlag, New York, 1981. | MR | Zbl
and ,[19] Energy-Entropy Inequalities for classical lattice systems, J. Stat. Phys., Vol. 29, 1982, pp. 541-595. | MR
, and ,[20] Methods of Modern Mathematical Physics II, Fourier Analysis, Self-Adjointness, Academic Press, New York, 1975. | MR | Zbl
and ,[21] Global thermodynamic stability and correlation inequalities, J. Math. Phys., Vol. 19, 1978, p. 558. | MR
and ,