A wiener integral approach to non-commutative harmonic oscillators

Research output: Contribution to journalArticle

Abstract

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).

Original languageEnglish
Pages (from-to)347-352
Number of pages6
JournalKyushu Journal of Mathematics
Volume63
Issue number2
DOIs
Publication statusPublished - Oct 30 2009

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Wiener Integral
Harmonic Oscillator
Continuation
Stochastic Equations
Brownian motion
Differential equation

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

A wiener integral approach to non-commutative harmonic oscillators. / Taniguchi, Setsuo.

In: Kyushu Journal of Mathematics, Vol. 63, No. 2, 30.10.2009, p. 347-352.

Research output: Contribution to journalArticle

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