Abstract
We study the class of stationary states and the domain of attraction of each of them, for a dynamical semigroup possessing a faithful normal stationary state. We give applications to the approach to stationarity of an open quantum system, and to models of the quantum measurement process.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Spohn, H.: Rept. Math. Phys.10, 189–194 (1976)
Spohn, H.: Lett. Math. Phys.2, 33–38 (1977)
Frigerio, A.: Lett. Math. Phys.2, 79–87 (1977)
Albeverio, S., Høegh-Krohn, R.: Frobenius theory for positive maps of von Neumann algebras. Preprint, Oslo (1977)
Davies, E. B.: Commun. math. Phys.19, 83–105 (1970)
Davies, E. B.: Quantum theory of open systems. London: Academic Press 1976
Evans, D. E.: Commun. math. Phys.54, 293–297 (1977)
Spohn, H., Lebowitz, J.: Irreversible thermodynamics for quantum systems weakly coupled to thermal reservoirs. Advan. Phys. Chem. (to appear)
Ghirardi, G. C., Rimini, A., Weber, T.: Nuovo Cimento30B, 133–144 (1975)
Davies, E. B.: Commun. math. Phys.55, 231–258 (1977)
Ingarden, R. S., Kossakowski, A.: Ann. Phys. (NY)89, 451–485 (1975)
Gorini, V., Kossakowski, A., Sudarshan, E. C. G.: J. Math. Phys.17, 821–825 (1976)
Lindblad, G.: Commun. math. Phys.48, 119–130 (1976)
Evans, D. E., Lewis, J. T.: J. Funct. Anal.26, 369–377 (1977)
Radin, C.: Commun. math. Phys.21, 291–302 (1971)
Doplicher, S., Kastler, D., Størmer, E.: J. Funct. Anal.3, 419–434 (1969)
Hille, E., Phillips, R.: Functional analysis and semi-groups. Providence: American Mathematical Society 1957
Takesaki, M.: J. Funct. Anal.9, 306–321 (1972)
Takesaki, M.: Tomita's theory of modular Hilbert algebras and its applications. Berlin, Heidelberg, New York: Springer 1970
Størmer, E.: Math. Scand.30, 46–50 (1972)
Dixmier, J.: Les C*-algèbres et leurs représentations. Paris: Gauthier-Villars 1969
Kadison, R. V.: Ann. Math.56, 494–503 (1952)
Sz.-Nagy, B., Foias, C.: Harmonic analysis of operators on Hilbert space. Amsterdam: North Holland 1970
Gudder, S., Marchand, J. P.: J. Math. Phys.13, 799–806 (1972)
Accardi, L.: Advan. Math. (to appear)
Kossakowski, A., Frigerio, A., Gorini, V., Verri, M.: Commun. math. Phys.57, 97–110 (1977)
Alicki, R.: Rept. Math. Phys.10, 249–258 (1976)
Davies, E. B.: Commun. math. Phys.39, 91–110 (1974)
Author information
Authors and Affiliations
Additional information
Communicated by H. Araki
Supported in part by NATO Research Grant No. 1380 and by CNR Research Contract No. 77.01543.63
A fellowship from the Italian Ministry of Public Education is acknowledged
Rights and permissions
About this article
Cite this article
Frigerio, A. Stationary states of quantum dynamical semigroups. Commun.Math. Phys. 63, 269–276 (1978). https://doi.org/10.1007/BF01196936
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01196936