Abstract: We classify Bogolyubov endomorphisms of the CCR algebra over a general test function space. This classification requires a non-commutative extension of the usual hyperbolic functions. We consider semi-groups of such endomorphisms and characterize their generators under the assumption of norm continuity.
Bogolyubov Endomorphisms and Non-Commutative Hyperbolic Functions
Accardi L.;Lu Y. -G.;
2020-01-01
Abstract
Abstract: We classify Bogolyubov endomorphisms of the CCR algebra over a general test function space. This classification requires a non-commutative extension of the usual hyperbolic functions. We consider semi-groups of such endomorphisms and characterize their generators under the assumption of norm continuity.File in questo prodotto:
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