Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_2000_67_5_a16, author = {S. Yu. Shustikov}, title = {Regularity criterion for a~mathematical model of the laser}, journal = {Matemati\v{c}eskie zametki}, pages = {788--796}, publisher = {mathdoc}, volume = {67}, number = {5}, year = {2000}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2000_67_5_a16/} }
S. Yu. Shustikov. Regularity criterion for a~mathematical model of the laser. Matematičeskie zametki, Tome 67 (2000) no. 5, pp. 788-796. http://geodesic.mathdoc.fr/item/MZM_2000_67_5_a16/
[1] Alli G., Sewell G., “New methods and structures in the theory of the multi-mode Dicke laser model”, J. Math. Phys., 36:10 (1995), 5598–5626 | DOI | MR | Zbl
[2] Lindblad G., “On generators of quantum dynamical semigroups”, Comm. Math. Phys., 48 (1976), 119–130 | DOI | MR | Zbl
[3] Goriny V., Kossakowski A., Sudarshan E. C. G., “Completely positive dynamical semigroups of $N$-level systems”, J. Math. Phys., 17 (1976), 821–825 | DOI | MR
[4] Kato T., Perturbation Theory of Linear Operators, Springer-Verlag, New York, 1966
[5] Khas'minskii R. Z., “Ergodic problems of recurrent diffusion processes”, Prob. Theory Appl., 5:1 (1960), 196–214
[6] Taniguchi T., “On sufficient conditions for nonexplosion of solutions to stochastic differential equations”, J. Math. Anal. Appl., 153:2 (1990), 549–561 | DOI | MR | Zbl
[7] Strook D. W., Varadhan S. R., Multidimensional Diffusion Processes, Springer-Verlag, New York, 1979
[8] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki, T. 1, Mir, M., 1977
[9] Berezin F. A., Metod vtorichnogo kvantovaniya, Nauka, M., 1986 | Zbl
[10] Kraus K., “General state changes in quantum theory”, Ann. Phys., 64 (1971), 311–335 | DOI | MR
[11] Chebotarev A. M., “Necessary and sufficient conditions for conservativity of a dynamical semigroup”, J. Soviet Math., 56:5 (1991), 2697–2719 | DOI | MR | Zbl
[12] Chebotarev A. M., Fagnola F., “Sufficient conditions for conservativity of quantum dynamical semigroups”, J. Funct. Anal., 153:2 (1998), 382–404 | DOI | MR | Zbl