Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592140 | Journal of Functional Analysis | 2007 | 24 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory