1991 | OriginalPaper | Chapter
Conformal Martingales in Stochastic Mechanics
Author : K. V. Parthasarathy
Published in: Stochastic Processes and their Applications
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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We study the probabilistic description of quantum systems in terms of stochastic differential equations, subject to multiplicative noise. The martingale properties of the complex Brownian motion are exploited. The conformal stochastic calculus is the key concept in arriving at the new result in terms of diffusions.