We construct a generic quantum Markov semigroup with instantaneous states exploiting the invariance of the diagonal algebra and the explicit form of the action of the pre-generator on off-diagonal matrix elements. Our semigroup acts on a unital C*-algebra and is strongly continuous on this algebra (Feller property). We discuss the generic hydrogenic atoms as an example.
Generic Fock Quantum Markov Semigroups with Instantaneous States
FAGNOLA, FRANCO;
2008-01-01
Abstract
We construct a generic quantum Markov semigroup with instantaneous states exploiting the invariance of the diagonal algebra and the explicit form of the action of the pre-generator on off-diagonal matrix elements. Our semigroup acts on a unital C*-algebra and is strongly continuous on this algebra (Feller property). We discuss the generic hydrogenic atoms as an example.File in questo prodotto:
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