The weak coupling limit without rotating wave approximation
Accardi, L. ; Lu, Y. G.
Annales de l'I.H.P. Physique théorique, Tome 54 (1991), p. 435-458 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{AIHPA_1991__54_4_435_0,
     author = {Accardi, L. and Lu, Y. G.},
     title = {The weak coupling limit without rotating wave approximation},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {54},
     year = {1991},
     pages = {435-458},
     mrnumber = {1128865},
     zbl = {0734.60105},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1991__54_4_435_0}
}

Accardi, L.; Lu, Y. G. The weak coupling limit without rotating wave approximation. Annales de l'I.H.P. Physique théorique, Tome 54 (1991) pp. 435-458. http://gdmltest.u-ga.fr/item/AIHPA_1991__54_4_435_0/

[0] L. Accardi, Quantum Stochastic Process, Progress Phys., Vol. 10, 1985, pp. 285-302. | MR 821302 | Zbl 0574.46059

[1] L. Accardi, A. Frigerio and Y.G. Lu, The Weak Coupling Limit Problem. Quantum Probability and its Applications IV, Lect. Notes Math., No. 1396, 1987, pp. 20-58, Springer. | MR 1019565 | Zbl 0682.60092

[2] L. Accardi, A. Frigerio and Y.G. Lu, The Weak Coupling Limit as a Quantum Functional Central Limit, Comm. Math. Phys., Vol. 131, 1990, pp 537-570. | MR 1065896 | Zbl 0703.60096

[3] L. Accardi, A. Frigerio and Y.G. Lu, The Quantum Weak Coupling Limit (II): Langevin Equation and Finite Temperature Case, R.I.M.S. (submitted). | Zbl 0846.60098

[4] L. Accardi, A. Frigerio and Y.G. Lu, The Weak Coupling Limit for Fermions, J. Math. Phys., 1990 (to appear). | MR 1091291 | Zbl 0735.60106

[5] L. Accardi, A. Frigerio and Y.G. Lu, Quantum Langevin Equation in the Weak Coupling Limit,Quantum Probability and its Applications V, No. 1442, pp. 1-16, Springer Lectures Notes in Math.. | MR 1091291 | Zbl 0709.60066

[6] E.B. Davies, Markovian Master Equation, Comm. Math. Phys., Vol. 39, 1974, pp. 91-110. | MR 359633 | Zbl 0294.60080

[7] E.B. Davies, Markovian Master Equation II, Math. Ann., Vol. 219, 1976, pp. 147-158. | MR 395638 | Zbl 0323.60061

[8] E.B. Davies, Markovian Master Equation III, Ann. Inst. H. Poincaré, B, Vol. 11, 1975, pp. 265-273. | Numdam | MR 395639 | Zbl 0323.60062

[9] A. Barchielli, Input and Output Channels in Quantum System and Quantum Stochastic Differential Equations, Lectures Notes in Math., No. 1303, 1988, Springer. | MR 985810 | Zbl 0636.60070

[10] C.W. Gardiner and M.J. Collet, Input and Output in Damped Quantum System: Quantum Stochastic Differential Equation and Master Equation, Phys. Rev. A, Vol. 31, 1985, pp. 3761-3774. | MR 791872

[11] J.V. Pulè, The Bloch Equations, Comm. Math. Phys., Vol. 38, 1974, pp. 241-256. | MR 359650

[12] L. Accardi, R. Alicki, A. Frigerio and Y.G. Lu, An Invitation to the Weak Coupling and Low Density Limits. Quantum Probability and its Applications VI, World Scientific Publishing, 1991 (to appear). | MR 1149817 | Zbl 0927.60090

[13] R.L. Hudson and K.R. Parthasarathy, Quantum Ito's Formula and Stochastic Evolutions, Comm. Math. Phys., Vol. 91, 1984, pp. 301-323. | Zbl 0546.60058

[14] G.S. Agarwal, Quantum Statistical Theories of Spontaneous Emission and their Relation to Other Approaches, Springer-Verlag, Berlin, Heidelberg, New York, 1974.