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A quantum Laguerre semigroup

Author

Listed:
  • Franco Fagnola

    (Politecnico di Milano)

  • Dharmendra Kumar

    (Satyawati College Evening (University of Delhi))

  • Sachi Srivastava

    (University of Delhi)

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.

Suggested Citation

  • Franco Fagnola & Dharmendra Kumar & Sachi Srivastava, 2021. "A quantum Laguerre semigroup," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(4), pages 1201-1211, December.
    • Handle: RePEc:spr:indpam:v:52:y:2021:i:4:d:10.1007_s13226-021-00029-4
    DOI: 10.1007/s13226-021-00029-4
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