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Continuity and generators of dynamical semigroups for infinite Bose systems |
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| Authors: | Philippe Blanchard Mario Hellmich |
| Institution: | a Faculty of Physics and BiBoS, University of Bielefeld, Universitätsstr. 25, 33615 Bielefeld, Germany b Institute of Theoretical Physics, University of Wroc?aw, Pl. M. Borna 9, 50204 Wroc?aw, Poland |
| Abstract: | For a class of quasifree quantum dynamical semigroups on the algebra of the canonical commutation relations (CCR) we give sufficient conditions for these semigroups to extend to ultraweakly continuous semigroups of normal operators on the von Neumann algebra associated with a representation of the CCR. Then the explicit form of the generators of the extended semigroups is calculated. |
| Keywords: | Quantum dynamical semigroup Generator Von Neumann algebra Open quantum system |
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