Infinite Dimensional Analysis Quantum Probability and Related Topics

Wick Calculus of Generalized Operators and its Applications to Quantum Stochastic Calculus

Zhiyuan Huang, Shunlong Luo

Published Jul 1, 1998• 12 citations

Abstract

A nonlinear and stochastic analysis of free Bose field is established in the framework of white noise calculus. Wick algebra structure is introduced in the space of generalized operators generated by quantum white noise, some fundamental properties of the calculus based on the Wick algebra are investigated. As applications, quantum stochastic integrals and quantum stochastic differential equations are treated from the viewpoint of Wick calculus.

DOI: 10.1142/s0219025798000247

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