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.
|Number of pages
|Nonlinear Analysis, Theory, Methods and Applications
|Published - 2001 Aug
- Lévy Laplacian
- Normal-ordered white noise equation
- Quadratic quantum white noise
- White noise theory