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.
|ジャーナル||Nonlinear Analysis, Theory, Methods and Applications|
|出版ステータス||Published - 2001 8 1|
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