Abstract
We give characterizations of the states of thermodynamic equilibrium of infinitely extended and finite quantum systems in terms of stability under interactions and of a quantum condition of detailed balance.
A fellowship from the Italian Ministry of Public Education is acknowledged.
A fellowship from the Italian National Science Council (C.N.R.) is acknowledged.
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References
A.Kossakowski, A.Frigerio, V.Gorini and M.Verri: Quantum Detailed Balance and KMS Condition, Commun. Math. Phys., to appear.
G.L.Sewell: Ann. Phys. (N.Y.) 85, 336 (1974), and Lecture notes at the Scuola di Perfezionamento in Fisica, University of Milan (unpublished).
E.B.Davies: Commun. Math. Phys. 39, 91 (1974).
R.Alicki: Rep. Math. Phys. 10, 249 (1976).
A.Kossakowski: Rep Math. Phys. 3, 247 (1972); V.Gorini, A.Kossakowski and E.C.G.Sudarshan: J.Math Phys. 17 821 (1976); G. Lindblad: Commun.Math. Phys. 48 119(1976).
H.Spohn: An Algebraic Condition for the Approach to Equilibrium of an Open N-level System, Lett. Math. Phys., to appear; D.E.Evans: Irreducible Quantum Dynamical Semigroups, Commun. Math. Phys. 54, 293 (1977); A.Frigerio: Quantum Dynamical Semigroups and Approach to Equilibrium, preprint University of Milan, 1977.
R.Haag, D.Kastler and E.Trych-Pohlmeyer:Commun. Math. Phys.38, 173 (1974).
O.Bratteli, D.Kastl'er: Commun. Math. Phys. 46, 37 (1976).
K.Hepp: Z.Phys. B20, 53 (1975); Lecture Notes in Physics 39, 138 (1975).
S.R.De Groot, P.Mazur: Nonequilibrium Thermodynamics, North Holland Publishing Company, Amsterdam 1962.
H.Spohn,J.Lebowitz:lrreversible Thermodynamics for Quantum Systems Weakly Coupled to Thermal Reservoirs, Adv. Phys. Chem., to appear.
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Frigerio, A., Gorini, V., Verri, M. (1978). Stability, detailed balance and KMS condition for quantum systems. In: Dell'Antonio, G., Doplicher, S., Jona-Lasinio, G. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08853-9_38
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DOI: https://doi.org/10.1007/3-540-08853-9_38
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