We construct Gaussian quantum Markov semigroups on the rep resentation of the Weyl algebra in the tensor product of the Fock space and its conjugate Fock space by the minimal semigroup method. We prove the explicit formula for the action on Weyl operators and study some properties.
GAUSSIAN QUANTUM MARKOV SEMIGROUPS IN THE FOCK-ANTI-FOCK REPRESENTATION OF WEYL ALGEBRA
A. Dhahri;F. Fagnola;
2025-01-01
Abstract
We construct Gaussian quantum Markov semigroups on the rep resentation of the Weyl algebra in the tensor product of the Fock space and its conjugate Fock space by the minimal semigroup method. We prove the explicit formula for the action on Weyl operators and study some properties.File in questo prodotto:
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