Generic Fock quantum Markov semigroups with instantaneous states | Zendy

Anis Ben Ghorbal | Zendy; Franco Fagnola | Zendy; Skander Hachicha | Zendy; Habib Ouerdiane | Zendy

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Generic Fock quantum Markov semigroups with instantaneous states

Author(s) -

Anis Ben Ghorbal,

Franco Fagnola,

Skander Hachicha,

Habib Ouerdiane

Publication year - 2008

Publication title -

communications on stochastic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.224

H-Index - 10

eISSN - 2688-6669

pISSN - 0973-9599

DOI - 10.31390/cosa.2.2.01

Subject(s) - fock space , fock state , markov chain , markov process , quantum , fock matrix , quantum mechanics , statistical physics , algebra over a field , mathematics , physics , pure mathematics , statistics

We construct a generic quantum Markov semigroup with instan- taneous states exploiting the invariance of the diagonal algebra and the ex- plicit form of the action of the pre-generator on o-diagonal matrix elements. Our semigroup acts on a unital C ⁄ -algebra and is strongly continuous on this algebra (Feller property). We discuss the generic hydrogen type atoms as an example.

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