THE HEAT SEMIGROUP AND KERNEL ASSOCIATED WITH CERTAIN NON-COMMUTATIVE HARMONIC OSCILLATORS

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Author(s)

Abstract

A probabilistic construction of the heat semigroup and kernel associated with certain non-commutative harmonic oscillators is given. As an application, the unitarily equivalence of the non-commutative harmonic oscillators with the ordinary harmonic oscillators is shown.

Journal

  • Kyushu Journal of Mathematics

    Kyushu Journal of Mathematics 62(1), 63-68, 2008

    Faculty of Mathematics, Kyushu University

Codes

  • NII Article ID (NAID)
    110006647914
  • NII NACSIS-CAT ID (NCID)
    AA10994346
  • Text Lang
    ENG
  • Article Type
    departmental bulletin paper
  • ISSN
    1340-6116
  • Data Source
    NII-ELS  IR  J-STAGE 
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