Open AccessQuantum Dynamical Semigroups and Decoherence
Author(s) -
Mario Hellmich
Publication year - 2011
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2011/625978
Subject(s) - quantum decoherence , semigroup , pure mathematics , dual (grammatical number) , quantum , mathematics , banach space , quantum dissipation , discrete mathematics , quantum mechanics , physics , art , literature
We prove a version of the Jacobs-de Leeuw-Glicksberg splitting theorem for weak* continuous one-parameter semigroups on dual Banach spaces. This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence. The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz (2003). We discuss this notion in some detail
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