The weak coupling limit without rotating wave approximation

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1. [0] L. Accardi, Quantum Stochastic Process, Progress Phys., Vol. 10, 1985, pp. 285-302. Zbl0574.46059MR821302
2. [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. Zbl0682.60092MR1019565
3. [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. Zbl0703.60096MR1065896
4. [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). Zbl0846.60098
5. [4] L. Accardi, A. Frigerio and Y.G. Lu, The Weak Coupling Limit for Fermions, J. Math. Phys., 1990 (to appear). Zbl0735.60106MR1091291
6. [5] L. Accardi, A. Frigerio and Y.G. Lu, Quantum Langevin Equation in the Weak Coupling Limit,Quantum Probability and its ApplicationsV, No. 1442, pp. 1-16, Springer Lectures Notes in Math.. Zbl0709.60066MR1091291
7. [6] E.B. Davies, Markovian Master Equation, Comm. Math. Phys., Vol. 39, 1974, pp. 91-110. Zbl0294.60080MR359633
8. [7] E.B. Davies, Markovian Master Equation II, Math. Ann., Vol. 219, 1976, pp. 147-158. Zbl0323.60061MR395638
9. [8] E.B. Davies, Markovian Master Equation III, Ann. Inst. H. Poincaré, B, Vol. 11, 1975, pp. 265-273. Zbl0323.60062MR395639
10. [9] A. Barchielli, Input and Output Channels in Quantum System and Quantum Stochastic Differential Equations, Lectures Notes in Math., No. 1303, 1988, Springer. Zbl0636.60070MR985810
11. [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. MR791872
12. [11] J.V. Pulè, The Bloch Equations, Comm. Math. Phys., Vol. 38, 1974, pp. 241-256. MR359650
13. [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). Zbl0927.60090MR1149817
14. [13] R.L. Hudson and K.R. Parthasarathy, Quantum Ito's Formula and Stochastic Evolutions, Comm. Math. Phys., Vol. 91, 1984, pp. 301-323. Zbl0546.60058
15. [14] G.S. Agarwal, Quantum Statistical Theories of Spontaneous Emission and their Relation to Other Approaches, Springer-Verlag, Berlin, Heidelberg, New York, 1974. 

1. L. Accardi, Y. G. Lu, The fermion number processes as a functional central limit of quantum hamiltonian models