Quantum Lévy Laplacian and associated heat equation

Un Cig Ji, Nobuaki Obata, Habib Ouerdiane

研究成果: Article査読

7 被引用数 (Scopus)

抄録

As a non-commutative extension of the Lévy Laplacian for entire functions on a nuclear space, we define the quantum Lévy Laplacian acting on white noise operators. We solve a heat type equation associated with the quantum Lévy Laplacian and study its relation to the classical Lévy heat equation. The solution to the quantum Lévy heat equation is obtained also from a normal-ordered white noise differential equation involving the quadratic quantum white noise.

本文言語English
ページ(範囲)31-54
ページ数24
ジャーナルJournal of Functional Analysis
249
1
DOI
出版ステータスPublished - 2007 8 1

ASJC Scopus subject areas

  • Analysis

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