THE HEAT SEMIGROUP AND KERNEL ASSOCIATED WITH CERTAIN NON-COMMUTATIVE HARMONIC OSCILLATORS
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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.
- Kyushu Journal of Mathematics
Kyushu Journal of Mathematics 62(1), 63-68, 2008
Faculty of Mathematics, Kyushu University