A WIENER INTEGRAL APPROACH TO NON-COMMUTATIVE HARMONIC OSCILLATORS

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概要

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• A Wiener integral approach to the non-commutative harmonic oscillator, i.e. an approach via Brownian motions and matrix-valued stochastic differential equations, will be given. Such an approach is a continuation and an extension of the one made by the author in an earlier paper (Kyushu J. Math. 62 (2008), 63-68).

• Faculty of Mathematics, Kyushu Universityの論文

著者

• TANIGUCHI Setsuo

  Faculty of Mathematics Kyushu University

関連論文

• A WIENER INTEGRAL APPROACH TO NON-COMMUTATIVE HARMONIC OSCILLATORS
• On the Jacobi field approach to stochastic oscillatory integrals with quadratic phase function
• The heat semigroup and kernel associated with certain non-commutative harmonic oscillators

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