no. 3
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 
@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},
     year = {1991},
     publisher = {Gauthier-Villars},
     volume = {55},
     number = {3},
     mrnumber = {1141715},
     zbl = {0742.60106},
     language = {en},
     url = {https://www.numdam.org/item/AIHPA_1991__55_3_805_0/}
}
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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. https://www.numdam.org/item/AIHPA_1991__55_3_805_0/

[1] R. Carmona, Wen Chen Master and B. Simon, Relativistic Schrödinger Operators: Asymptotic Behavior of the Eigenfunctions, J. Funct. Anal., Vol. 91, 1990, pp. 117-142. | Zbl | MR

[2] J. Glimm and A. Jaffe, Quantum Physics. A Functional Integral Point of View, Springer-Verlag, New York/Heidelberg/Berlin, 1981. | Zbl | MR

[3] B. Simon, Functional Integration and Quantum Physics, New York, Academic Press, 1979. | Zbl | MR

[4] E. Nelson, Feynman Integrals and the Schrödinger Equation, J. Math. Phys., Vol. 5, 1964, pp. 332-343. | Zbl | MR

[5] W. Driessler, L. Landau and J. Fernando Perez, Estimates of Critical Lengths and Critical Temperatures for Classical and Quantum Lattice Systems, J. Stat. Phys., Vol. 20, 1979, pp. 123-162. | MR

[6] H. Spohn and R. Dümcke, Quantum Tunneling with Dissipation and the Ising Model over R, J. Stat. Phys., Vol. 41, 1985, pp. 389-423. | MR

[7] A. Alastuey and Ph. A Martin, Absence of exponential clustering in quantum Coulomb fluids, Preprint, 1989. | MR

[8] T. Matsui, Uniqueness of the translationally invariant ground state in quantum spin systems, Comm. Math. Phys., Vol. 126, 1990, pp. 453-467. | Zbl | MR

[9] V. Gorini, A. Kossakowski and E.C.G. Sudarshan, Completely positive dynamical semigroups of N-level systems, J. Math. Phys., Vol. 17, 1976, p. 821. | MR

[10] A. Frigerio, V. Gorini, A. Kossakowski and M. Verri, Quantum detailed balance and the KMS condition, Comm. Math. Phys., Vol. 57, 1977, pp. 97-110. | Zbl | MR

[11] G. Lindblad, On the generators of dynamical semigroups, Comm. Math. Phys., Vol. 48, 1976, p. 119. | Zbl | MR

[12] J. Quaegebeur, G. Stragier and A. Verbeure, Quantum detailed balance, Ann. Inst. Henri Poincaré, Vol. 41, 1984, p. 25. | Numdam | Zbl | MR | EuDML

[13] J. Quaegebeur and A. Verbeure, Relaxation of the bose-gas, Lett. Matt. Phys., Vol. 9, 1985, p. 93. | MR

[14] G. Stragier, De detailed balance voorwaarde en thermodynamisch evenwicht, Ph. D. Thesis, KUL, 1984.

[15] H.O. Georgii, Gibbs Measures and Phase Transitions, De Gruyter Studies in Mathematics, 1988. | Zbl | MR

[16] T. Liggett, Interacting Particle Systems, Springer Verlag, New York, 1985. | Zbl | MR

[17] O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics, Vol. I and II, Springer-Verlag, 1979, 1981. | Zbl

[18] R. Alicki and K. Lendi, Quantum Dynamical Semigroups and Applications, Lecture Notes in Physics, 286, Springer-Verlag, New York, 1981. | Zbl | MR

[19] M. Fannes, P. Vanheuverzwijn and A. Verbeure, Energy-Entropy Inequalities for classical lattice systems, J. Stat. Phys., Vol. 29, 1982, pp. 541-595. | MR

[20] M. Reed and B. Simon, Methods of Modern Mathematical Physics II, Fourier Analysis, Self-Adjointness, Academic Press, New York, 1975. | Zbl | MR

[21] M. Fannes and A. Verbeure, Global thermodynamic stability and correlation inequalities, J. Math. Phys., Vol. 19, 1978, p. 558. | MR