@article{AIHPA_1997__67_4_425_0, author = {Jak\v{s}i\'c, Vojkan and Pillet, Claude-Alain}, title = {From resonances to master equations}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {425--445}, publisher = {Gauthier-Villars}, volume = {67}, number = {4}, year = {1997}, zbl = {0910.60084}, mrnumber = {1632244}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1997__67_4_425_0/} }
TY - JOUR AU - Jakšić, Vojkan AU - Pillet, Claude-Alain TI - From resonances to master equations JO - Annales de l'I.H.P. Physique théorique PY - 1997 SP - 425 EP - 445 VL - 67 IS - 4 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1997__67_4_425_0/ LA - en ID - AIHPA_1997__67_4_425_0 ER -
Jakšić, Vojkan; Pillet, Claude-Alain. From resonances to master equations. Annales de l'I.H.P. Physique théorique, Tome 67 (1997) no. 4, pp. 425-445. http://archive.numdam.org/item/AIHPA_1997__67_4_425_0/
[A1] Relative Hamiltonian for faithful normal states of a von Neumann algebra. Pub. R.I.M.S. Kyoto Univ. Vol. 9, 1973, p. 165. | MR | Zbl
,[A2] Positive cone, Radon-Nikodym theorems, relative Hamiltonian and the Gibbs condition in statistical mechanics. An application of the Tomita-Takesaki theory, in C*-Algebras and Their Applications to Statistical Mechanics and Quantum Field Theory, D. Kastler, ed., Editrice Composition, Bologna (1975). | MR | Zbl
,[AW] Representation of the canonical commutation relations describing a non relativistic infinite free Bose gas. J. Math. Phys., Vol. 4, 1963, p. 637. | MR
and ,[AC] A class of analytic perturbations for one-body Schrödinger Hamiltonians. Commun. Math. Phys., 22, 1971, p. 269. | MR | Zbl
, and ,[BC] Spectral properties of many-body Schrödinger operators with dilation analytic interactions. Commun. Math. Phys., Vol. 22, 1971, p. 280. | MR | Zbl
and ,[BL] Phys. Rev., 70, 1946, p. 460.
,[BLW] Phys. Rev., Vol. 89 (1953), p. 728. | Zbl
and ,[BR1] Operator Algebras and Quantum Statistical Mechanics I. Springer-Verlag, New York, 1979. | MR | Zbl
and ,[BR2] Operator Algebras and Quantum Statistical Mechanics II. Springer-Verlag, New York, 1981. | MR | Zbl
and ,[D1] Markovian master equations. Commun. Math. Phys., Vol. 39, 1974, p. 91. | MR | Zbl
,[D2] Markovian master equations. II. Math. Ann., Vol. 219 (1976), p. 147. | MR | Zbl
,[D3] Quantum Theory of Open Systems. Academic Press, London, 1976. | MR | Zbl
,[FNV] The equilibrium states of the spin-boson model. Commun. Math. Phys., Vol. 114, 1988, p. 537. | MR | Zbl
, and ,[H] Local Quantum Physics, Springer-Verlag, Berlin, 1993. | MR
,[HA] Statistical treatment of open systems by generalized master equations. Springer tracts in modern physics, Vol. 66.
,[JP1] On a model for quantum friction II. Fermi's golden rule and dynamics at positive temperature. Commun. Math. Phys., Vol. 176 (1996), p. 619. | MR | Zbl
and ,[JP2] On a model for quantum friction III. Ergodic properties of the spin-boson system. Commun. Math. Phys., Vol. 178, 1996, p. 627. | MR | Zbl
and ,[JP3] On a model for quantum friction IV. Matter and radiation at positive temperature. In preparation.
and ,[KTH] Statistical Physics II. Nonequilibrium Statistical Mechanics. Springer-Verlag, Berlin, 1985. | MR
, and ,[LCD] Dynamics of the dissipative two-state system. Rev. Mod. Phys., Vol. 59, 1987, p. 1.
, , , , and ,[M] Nonequilibrium Statistical Mechanics. Lectures in Theor. Phys., Vol. 3, p. 221. | MR
,[N] On quantum theory of transport phenomena. Prog. Theor. Phys., Vol. 20, p. 948. | MR | Zbl
,[P1] Festschrift zum 60. Gerburtstage A. Sommerfeld, S.30. Leipzig, Hirzel, 1928.
,[P2] Pauli Lectures on Physics: Volume 4.Statistical Mechanics Edited by C.P. Enz. Cambridge, The MIT Press 1973.
,[PR] On the kinetics of the approach to equilibrium. Physica, Vol. 27, p. 629. | MR
and ,[PU] The Bloch Equations. Commun. Math. Phys., Vol. 38, 1974, p. 241. | MR
,[RO1] C*-algebras and quantum statistical mechanics, in C*-Algebras and Their Applications to Statistical Mechanics and Quantum Field Theory, D. Kastler, ed., Editrice Composition, Bologna, 1975.
,[RO2] Return to equilibrium. Commun. Math. Phys., Vol. 31, 1973, p. 171. | MR | Zbl
,[SD] The proper form of the generator in the weak coupling limit. Z. Physik B, Vol. 34, 1979, p. 419.
and ,[SI] Resonances in N-body quantum systems with dilation analytic potentials and the foundations of time-dependent perturbation theory. Ann. Math., Vol. 97, 1973, p. 247. | MR | Zbl
,[VH1] Quantum-mechanical perturbations giving rise to a statistical transport equation. Physica, Vol. 21, p. 517. | MR | Zbl
,[VH2] The approach to equilibrium in quantum statistics. Physica, Vol. 23, p. 441. | MR | Zbl
,[VH3] Master equation and approach to equilibrium for quantum systems. In Fundamental problems in statistical mechanics, compiled by E.G.D. Cohen, North-Holland, Amsterdam, 1962.
,[Z1] Statistical mechanics of irreversibility. Lectures in Theor. Phys, Vol. 3, p. 106. | MR
,[Z2] On the identity of three generalized master equations. Physica, Vol. 30, p. 1109. | MR
,