no. 2
Macroscopic limiting dynamics of a class of inhomogeneous mean field quantum systems
Annales de l'I.H.P. Physique théorique, Tome 56 (1992) no. 2, pp. 143-186. 
@article{AIHPA_1992__56_2_143_0,
     author = {Duffield, N. G. and Roos, H. and Werner, R. F.},
     title = {Macroscopic limiting dynamics of a class of inhomogeneous mean field quantum systems},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {143--186},
     publisher = {Gauthier-Villars},
     volume = {56},
     number = {2},
     year = {1992},
     mrnumber = {1155276},
     zbl = {0766.46046},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1992__56_2_143_0/}
}
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Duffield, N. G.; Roos, H.; Werner, R. F. Macroscopic limiting dynamics of a class of inhomogeneous mean field quantum systems. Annales de l'I.H.P. Physique théorique, Tome 56 (1992) no. 2, pp. 143-186. http://www.numdam.org/item/AIHPA_1992__56_2_143_0/

[1] R. Alicki and J. Messer, Non-linear Quantum Dynamical Semigroups for Many-body Open Systems, J. Stat. Phys., Vol. 32, 1983, pp. 299-312. | MR | Zbl

[2] H. Araki, Relative Hamiltonian for Faithful Normal States of a von Neumann Algebra, Publ. Res. Inst. Math. Sci., Vol. 9, 1973, pp. 165-209. | MR | Zbl

[3] A. Blobel and J. Messer, Equilibrium States of Inhomogeneous Mean-field Quantum Spin Systems with Random Sites, J. Math. Phys., Vol. 26, 1985, pp. 1049-1056. | MR | Zbl

[4] O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics, Vol. 2, New York, Heidelberg, Berlin: Springer, 1981. | MR | Zbl

[5] E. Buffet and Ph.A. Martin, Dynamics of the Open B.C.S. Model, J. Stat. Phys., Vol. 18, 1978, pp. 585-603. | MR

[6] N.G. Duffield and R. Kühn, The thermodynamics of Site-random Mean-field Quantum Spin Systems, J. Phys. A., Vol. 22, 1989, pp. 4643-4658. | MR | Zbl

[7] N.G. Duffield and J.V. Pulè, A New Method for the Thermodynamics of the BCS Model, Commun. Math. Phys., Vol. 118, 1988, pp. 475-494. | MR | Zbl

[8] N.G. Duffield and R.F. Werner, Mean Field Dynamical Semigroups on C*- Algebras, DIAS-STP-90-13.

[9] E. Duffner and A. Rieckers, On the Global Quantum Dynamics of Multi-lattice Systems with Nonlinear Classical Effects, Z. Naturforschung, Vol. 43A, 1988, p. 521. | MR

[10] M. Fannes and H. Roos, Unpublished.

[11] M. Fannes, H. Spohn and A. Verbeure, Equilibrium States for Mean Field Models, J. Math. Phys., Vol. 21, 1980, pp. 355-358. | MR | Zbl

[12] T. Gerisch and A. Rieckers, The Quantum Statistical free Energy Minimum Principle for Multi-lattice Mean Field Theories, Preprint, Tübingen, 1990. | MR | Zbl

[13] K. Hepp and E.H. Lieb, Phase Transitions in Reservoir-driven Open Systems with Applications to Lasers and Superconductors, Helv. Phys. Acta., Vol. 46, 1973, pp. 573-603.

[14] D. Kastler and D.W. Robinson, Invariant States in Statistical Mechanics, Commun. Math. Phys., Vol. 3, 1966, pp. 151-180. | MR | Zbl

[15] Y. Katznelson, An Introduction to Harmonic Analysis, Wiley, New York, 1968. | MR | Zbl

[16] G.A. Raggio and R.F. Werner, Quantum Statistical Mechanics of General Meanfield Systems, Helv. Phys. Acta., Vol. 62, 1989, pp. 980-1003. | MR | Zbl

[17] G.A. Raggio and R.F. Werner, The Gibbs Variational Principle for General BCS-type Models, Europhys. Lett., Vol. 9, 1989, pp. 633-637.

[18] G.A. Raggio and R.F. Werner, The Gibbs Variational Principle for Inhomogeneous Mean-field Systems, Helv. Phys. Acta., Vol. 64, 1991, pp. 633-667. | MR | Zbl

[19] H. Roos, KMS Condition in a Schrödinger Picture of the Dynamics, Physica, Vol. 100A, 1980, pp. 183-195. | MR

[20] D. Ruelle, Statistical Mechanics, London: Academic, 1969.

[21] D. Ruelle, States of Physical Systems, Commun. Math. Phys., Vol. 3, 1966, pp. 133-150. | MR | Zbl

[22] H. Spohn, Kinetic Equations From Hamiltonian Dynamics: Markovian Limits, Rev. Mod. Phys., Vol. 53, 1980, pp. 569-615. | MR

[23] E. Størmer, Symmetric States of Infinite Tensor Products of C*-Algebras, J. Funct. Anal., Vol. 3, 1969, pp. 48-68. | MR | Zbl

[24] M. Takesaki, Theory of Operator Algebras I, New York, Heidelberg, Berlin: Springer, 1979. | MR | Zbl

[25] T. Unnerstall and A. Rieckers, Quasispin-Operator Description of the Josephson Tunnel Junction and the Josephson Plasma Frequency, Phys. Rev., Vol. 39, 1989, pp. 2173-2179.