Quantum Stochastic Process Associated with Quantum Lévy Laplacian

نویسندگان

  • HABIB OUERDIANE
  • KIMIAKI SAITÔ
چکیده

A noncommutative extension of the Lévy Laplacian, called the quantum Lévy Laplacian, is introduced and its relevant properties are studied, in particular, a relation between the classical and quantum Lévy Laplacians is studied. We construct a semigroup and a quantum stochastic process generated by the quantum Lévy Laplacian.

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تاریخ انتشار 2007