In this paper we construct a quantum extension of the Laguerre semigroup and study its properties. In particular we show that it has a unique pure invariant state and any initial state converges to this invariant state. For initial states satisfying a finite energy condition, convergence is exponentially fast.

A quantum Laguerre semigroup

Fagnola F.;
2021-01-01

Abstract

In this paper we construct a quantum extension of the Laguerre semigroup and study its properties. In particular we show that it has a unique pure invariant state and any initial state converges to this invariant state. For initial states satisfying a finite energy condition, convergence is exponentially fast.
2021
Laugerre semigroup
Non-commutative Markov process
Quantum dynamical semigroup
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1193735
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