@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://archive.numdam.org/item/AIHPA_1992__56_2_143_0/} }
TY - JOUR AU - Duffield, N. G. AU - Roos, H. AU - Werner, R. F. TI - Macroscopic limiting dynamics of a class of inhomogeneous mean field quantum systems JO - Annales de l'I.H.P. Physique théorique PY - 1992 SP - 143 EP - 186 VL - 56 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1992__56_2_143_0/ LA - en ID - AIHPA_1992__56_2_143_0 ER -
%0 Journal Article %A Duffield, N. G. %A Roos, H. %A Werner, R. F. %T Macroscopic limiting dynamics of a class of inhomogeneous mean field quantum systems %J Annales de l'I.H.P. Physique théorique %D 1992 %P 143-186 %V 56 %N 2 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1992__56_2_143_0/ %G en %F AIHPA_1992__56_2_143_0
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://archive.numdam.org/item/AIHPA_1992__56_2_143_0/
[1] Non-linear Quantum Dynamical Semigroups for Many-body Open Systems, J. Stat. Phys., Vol. 32, 1983, pp. 299-312. | MR | Zbl
and ,[2] 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] Equilibrium States of Inhomogeneous Mean-field Quantum Spin Systems with Random Sites, J. Math. Phys., Vol. 26, 1985, pp. 1049-1056. | MR | Zbl
and ,[4] Operator Algebras and Quantum Statistical Mechanics, Vol. 2, New York, Heidelberg, Berlin: Springer, 1981. | MR | Zbl
and ,[5] Dynamics of the Open B.C.S. Model, J. Stat. Phys., Vol. 18, 1978, pp. 585-603. | MR
and ,[6] The thermodynamics of Site-random Mean-field Quantum Spin Systems, J. Phys. A., Vol. 22, 1989, pp. 4643-4658. | MR | Zbl
and ,[7] A New Method for the Thermodynamics of the BCS Model, Commun. Math. Phys., Vol. 118, 1988, pp. 475-494. | MR | Zbl
and ,[8] Mean Field Dynamical Semigroups on C*- Algebras, DIAS-STP-90-13.
and ,[9] On the Global Quantum Dynamics of Multi-lattice Systems with Nonlinear Classical Effects, Z. Naturforschung, Vol. 43A, 1988, p. 521. | MR
and ,[10]
and , Unpublished.[11] Equilibrium States for Mean Field Models, J. Math. Phys., Vol. 21, 1980, pp. 355-358. | MR | Zbl
, and ,[12] The Quantum Statistical free Energy Minimum Principle for Multi-lattice Mean Field Theories, Preprint, Tübingen, 1990. | MR | Zbl
and ,[13] Phase Transitions in Reservoir-driven Open Systems with Applications to Lasers and Superconductors, Helv. Phys. Acta., Vol. 46, 1973, pp. 573-603.
and ,[14] Invariant States in Statistical Mechanics, Commun. Math. Phys., Vol. 3, 1966, pp. 151-180. | MR | Zbl
and ,[15] An Introduction to Harmonic Analysis, Wiley, New York, 1968. | MR | Zbl
,[16] Quantum Statistical Mechanics of General Meanfield Systems, Helv. Phys. Acta., Vol. 62, 1989, pp. 980-1003. | MR | Zbl
and ,[17] The Gibbs Variational Principle for General BCS-type Models, Europhys. Lett., Vol. 9, 1989, pp. 633-637.
and ,[18] The Gibbs Variational Principle for Inhomogeneous Mean-field Systems, Helv. Phys. Acta., Vol. 64, 1991, pp. 633-667. | MR | Zbl
and ,[19] KMS Condition in a Schrödinger Picture of the Dynamics, Physica, Vol. 100A, 1980, pp. 183-195. | MR
,[20] Statistical Mechanics, London: Academic, 1969.
,[21] States of Physical Systems, Commun. Math. Phys., Vol. 3, 1966, pp. 133-150. | MR | Zbl
,[22] Kinetic Equations From Hamiltonian Dynamics: Markovian Limits, Rev. Mod. Phys., Vol. 53, 1980, pp. 569-615. | MR
,[23] Symmetric States of Infinite Tensor Products of C*-Algebras, J. Funct. Anal., Vol. 3, 1969, pp. 48-68. | MR | Zbl
,[24] Theory of Operator Algebras I, New York, Heidelberg, Berlin: Springer, 1979. | MR | Zbl
,[25] Quasispin-Operator Description of the Josephson Tunnel Junction and the Josephson Plasma Frequency, Phys. Rev., Vol. 39, 1989, pp. 2173-2179.
and ,