×

Properties of quantum Markovian master equations. (English) Zbl 0392.47017


MSC:

47L90 Applications of operator algebras to the sciences
81P20 Stochastic mechanics (including stochastic electrodynamics)
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Abragam, A., The principles of nuclear magnetism, (1961), Clarendon Press Oxford
[2] Accardi, L., Adv. math., 20, 329, (1976)
[3] Agarwal, G.S., Phys. rev., 178, 2025, (1969)
[4] Agarwal, G.S., Phys. rev., A4, 739, (1971)
[5] Agarwal, G.S., (), 1
[6] Agarwal, G.S., Z. phys., 258, 409, (1973)
[7] Agarwal, G.S., Z. phys., B22, 177, (1975)
[8] Alberti, M.A.; Cotta-Ramusino, P.; Ramella, G., J. math. phys., 16, 132, (1975)
[9] Alicki, R., On the detailed balance condition for non-Hamiltonian systems, (1976), preprint, Gdańsk · Zbl 0363.60114
[10] Araki, H., (), 87
[11] Argyres, P.N.; Kelley, P.L., Phys. rev., 134, A98, (1964)
[12] Arveson, W., Acta math., 123, 141, (1969)
[13] Atherton, N.M., Electron spin resonance, (1973), John Wiley & Sons Inc New York
[14] Bloch, F.; Wangness, R.K., Phys. rev., 89, 728, (1953)
[15] Bogoliubov, N.N., Problems of a dynamical theory in statistical physics (in Russian), (), 3317, ASTIA documents No. AS-21
[16] Bonifacio, R.; Schwendimann, P.; Haake, F., Phys. rev., A4, 302, (1971)
[17] Bonifacio, R.; Schwendimann, P.; Haake, F., Phys. rev., A4, 854, (1971)
[18] Carmichael, H.J.; Walls, D.F., Z. phys., B23, 299, (1976)
[19] Choi, M.D., Can. J. math., 24, 520, (1972)
[20] Choi, M.D., Illinois J. math., 18, 565, (1974)
[21] Davies, E.B., Commun. math. phys., 19, 83, (1970)
[22] Davies, E.B., Z. wahrscheinlichkeitstheorie, 23, 161, (1972)
[23] Davies, E.B., Commun. math. phys., 33, 171, (1973)
[24] Davies, E.B., J. math. phys., 15, 2036, (1974)
[25] Davies, E.B., Commun. math. phys., 39, 91, (1974)
[26] Davies, E.B., Math. ann., 219, 147, (1976)
[27] Davies, E.B., Ann. inst. Henri Poincaré, 11, 265, (1975)
[28] Davies, E.B., Quantum dynamical semigroups and the neutron diffusion equation, (1976), preprint, Oxford · Zbl 0355.60069
[29] Emch, G.G., Helv. phys. acta, 38, 164, (1965)
[30] Emch, G.G.; Sewell, G.L., J. math. phys., 9, 946, (1968)
[31] Evans, D.E., Commun. math. phys., 48, 15, (1976)
[32] Evans, D.E.; Lewis, J.T., Dilations of dynamical semi-groups, (1976), preprint DIAS-TP-76-4, Dublin · Zbl 0402.46039
[33] Favre, C.; Martin, Ph., Helv. phys. acta, 41, 333, (1968)
[34] Frigerio, A.; Gorini, V., N-level systems in contact with a singular reservoir.II, J. math. phys., (1975), to appear in
[35] Frigerio, A.; Novellone, C.; Verri, M., Master equation treatment of the singular reservoir limit, Rep. math. phys., (1976), to appear in
[36] Ghirardi, G.C.; Rimini, A.; Weber, T., Nuovo cimento, 30B, 133, (1975)
[37] Gorini, V.; Kossakowski, A., J. math. phys., 17, 1298, (1976)
[38] Gorini, V.; Kossakowski, A.; Sudarshan, E.C.G., J. math. phys., 17, 821, (1976)
[39] Gorini V., A. Kossakowski, E.C.G. Sudarshan: in preparation.
[40] Haag, R.; Kastler, D.; Trych-Pohlmeyer, E., Commun. math. phys., 38, 171, (1974)
[41] Haake, F., (), 98
[42] Haken, H., Laser theory, hdb. phys., 25/2c, (1970), Springer-Verlag Berlin
[43] Happer, W., Rev. mod. phys., 44, 169, (1972)
[44] Hepp, K., Z. phys., B20, 53, (1975)
[45] Hepp, K.; Lieb, E., Helv. phys. acta, 46, 573, (1973)
[46] Herman, R.H.; Takesaki, M., Commun. math. phys., 19, 142, (1970)
[47] Ingarden, R.S.; Kossakowski, A., Ann. phys., 89, 451, (1975), (N.Y.)
[48] Kadison, R.V., Ann. math., 56, 494, (1952)
[49] Kossakowski, A., Rep. math. phys., 3, 247, (1972)
[50] Kossakowski, A., Bull. acad. Pol. Sér. sci. math. astr. phys., 20, 1021, (1972)
[51] Kossakowski, A., Bull. acad. Pol. Sér. sci. math. astr. phys., 21, 649, (1973)
[52] Kossakowski, A.; Frigerio, A.; Gorini, V.; Verri, M., Quantum detailed balance and KMS condition, (1977), preprint IFUM 201/FT, Milan · Zbl 0374.46060
[53] Parravicini, G.; Zecca, A., On the generator of completely positive dynamical semigroups of an N-level system, Rep. math. phys., (1976), to appear in
[54] Kraus, K., Ann. phys., 64, 311, (1971), (N.Y.)
[55] Kraus, K., (), 206
[56] Lanz, L.; Barchielli, A., Non-Hamiltonian description of two-particle systems and unstable bound states, Rys. math. phys., (1975), to appear in
[57] Lanz, L.; Lugiato, L.A.; Ramella, G., Physica, 54, 94, (1971)
[58] Lindblad, G., Commun. math. phys., 48, 119, (1976)
[59] Lindblad, G., Brownian motion of a quantum harmonic oscillator, (1976), preprint TRITA-TFY-76-2, Stockholm · Zbl 0365.60071
[60] Lindblad, G., Lett. math. phys., 1, 219, (1976)
[61] Nakamura, M.; Takesaki, M.; Umegaki, H., Kodai math. sem. rep., 12, 82, (1960)
[62] Nakamura, M.; Turumaru, T., Tôhoku math. J., 6, 182, (1954)
[63] Palmer, P.F., The singular coupling and the work coupling limits, J. math. phys., (1976), submitted to
[64] Presutti, E.; Scacciatelli, E.; Sewell, G.L.; Wanderlingh, F., J. math. phys., 13, 1085, (1972)
[65] Prigogine, I., Nonequilibrium statistical mechanics, (1962), Wiley-Interscience New York and London · Zbl 0106.43301
[66] Prigorine, I.; George, C.; Hénin, F., Physica, 45, 418, (1969)
[67] Prigogine, I.; George, C.; Hénin, F.; Rosenfeld, L., Chemica scripta, 4, 5, (1973)
[68] Prigogine, I.; Résibois, P., Physica, 27, 629, (1961)
[69] Primas, H., Helv. phys. acta, 34, 36, (1961)
[70] Pulè, J.V., Commun. math. phys., 38, 241, (1974)
[71] Radin, C., Commun. math. phys., 21, 291, (1971)
[72] Robinson, D.W., Proc. varenna summer school, (1973)
[73] Sewell, G.L., Lect. theoret phys., 10, 289, (1967), (Boulder)
[74] Sirugue, M.; Winnink, M., Commun. math. phys., 19, 161, (1970)
[75] Spohn, H., Approach to equilibrium for completely positive dynamical semigroups of N-level systems, Rep. math. phys., (1976), to appear in
[76] Spohn, H., An algebraic condition for the approach to equilibrium of an open N-level system, (1976), preprint, München
[77] Stinespring, W.F., Proc. amer. math. soc., 6, 211, (1955)
[78] Størmer, E., Acta math., 110, 223, (1963)
[79] Størmer, E., (), 85
[80] Twareque Ali, S.; Fonda, L.; Ghirardi, G.C., Nuovo cimento, 25 A1, 134, (1975)
[81] Umegaki, H., Tôhoku math. J., 6, 177, (1954)
[82] van Hove, L., Physica, 21, 517, (1955)
[83] van Hove, L., Physica, 23, 441, (1957)
[84] Yosida, K., (), 233, Ch. IX
[85] Zwanzig, R., J. chem. phys., 33, 1338, (1960)
[86] Zwanzig, R., Lect. theoret. phys., 3, 106, (1960), (Boulder)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.