A WIENER INTEGRAL APPROACH TONON-COMMUTATIVE HARMONIC OSCILLATORS

摘要

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