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1991 | OriginalPaper | Chapter

Conformal Martingales in Stochastic Mechanics

Author : K. V. Parthasarathy

Published in: Stochastic Processes and their Applications

Publisher: Springer Berlin Heidelberg

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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.

Metadata
Title
Conformal Martingales in Stochastic Mechanics
Author
K. V. Parthasarathy
Copyright Year
1991
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-58201-1_6