Davies, E. B. Markovian master equations. (English) Zbl 0294.60080 Commun. Math. Phys. 39, 91-110 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 220 Documents MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 34K25 Asymptotic theory of functional-differential equations 45J05 Integro-ordinary differential equations 34G99 Differential equations in abstract spaces PDFBibTeX XMLCite \textit{E. B. Davies}, Commun. Math. Phys. 39, 91--110 (1974; Zbl 0294.60080) Full Text: DOI References: [1] Prigogine, I.: The statistical interpretation of nonequilibrium entropy. In: Thirring, W., Cohen, E. G. D. (Eds.): The Boltzmann equation, theory and applications. Berlin-Heidelberg-New York: Springer 1973 [2] Haake, F.: Statistical treatment of open systems by generalised master equations. Springer tracts in modern physics, Vol.66. Berlin-Heidelberg-New York: Springer 1973 [3] Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966 · Zbl 0148.12601 [4] Davies, E. B.: Commun. math. Phys.33, 171–186 (1973) · doi:10.1007/BF01667915 [5] Sewell, G. L.: Relaxation, amplification and the K.M.S. conditions (to appear) [6] Davies, E. B.: Dynamics of a multi-level Wigner-Weisskopf atom. J. math. Phys. (To appear) [7] Papanicolaou, G. C., Varadhan, S. R. S.: Comm. Pure. Appl. Math.26, 497–524 (1973) · doi:10.1002/cpa.3160260405 [8] Bongaarts, P. J. M., Fannes, M., Verbeure, A.: A remark on ergodicity, dissipativity, return to equilibrium, (To appear) [9] Pulè, J. V.: The Bloch equation. Commun. Math. Phys. (To appear) (1974) [10] Balslev, E., Verbeure, A.: Commun. math. Phys.7, 55–76 (1968) · Zbl 0155.32305 · doi:10.1007/BF01651218 [11] Presutti, E., Scacciatelli, E., Sewell, G. L., Wanderlingh, F.: J. Math. Phys.13, 1085–1098 (1972) · doi:10.1063/1.1666101 [12] Chernoff, P. R.: J. Funct. Anal.2 (1968) 238–242 · Zbl 0157.21501 · doi:10.1016/0022-1236(68)90020-7 [13] Davies, E. B.: Commun. math. Phys.19, 83–105 (1970) · Zbl 0199.28202 · doi:10.1007/BF01646628 [14] Davies, E. B.: Z. Wahrscheinlichkeitsch.23, 261–273 (1972) · Zbl 0231.20023 · doi:10.1007/BF00532512 [15] Hepp, K., Lieb, E. H.: Phase transitions in reservoir-driven open systems with applications to lasers and superconductors. Helv. Phys. Acta46, 573–603 (1973) 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.