A quantum Laguerre semigroup

Franco Fagnola (), Dharmendra Kumar () and Sachi Srivastava ()
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Franco Fagnola: Politecnico di Milano
Dharmendra Kumar: Satyawati College Evening (University of Delhi)
Sachi Srivastava: University of Delhi

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 4, 1201-1211

Abstract: 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.

Keywords: Quantum dynamical semigroup; Non-commutative Markov process; Laugerre semigroup; 46L55; 46N50; 47D07 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00029-4

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