Quadratic quantum white noises and Lévy Laplacian

研究成果: Article査読

16 被引用数 (Scopus)

抄録

As a generalization of a quantum stochastic differential equation, a normal-ordered white noise differential equation involving quadratic quantum white noises are formulated on the basis of white noise theory. The solution is found in a Fock space singular to the original one. The classical process determined by the solution is unexpectedly related to a heat type equation associated with the Lévy Laplacian through Laplace transform.

本文言語English
ページ(範囲)2437-2448
ページ数12
ジャーナルNonlinear Analysis, Theory, Methods and Applications
47
4
DOI
出版ステータスPublished - 2001 8 1
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 応用数学

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