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QUANTUM TANAKA FORMULA IN TERMS OF QUANTUM BROWNIAN MOTION

Part of: General quantum mechanics and problems of quantization

Published online by Cambridge University Press:  01 April 2011

YULAN ZHOU  and
CAISHI WANG
YULAN ZHOU*
Affiliation:
School of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, PR China (email: [email protected])
CAISHI WANG
Affiliation:
School of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, PR China (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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A quantum local time, which is a generalized operator-valued process, is defined for quantum Brownian motion, and a quantum analogue of the classical Tanaka formula is then established.

Keywords

white noise analysisquantum local timequantum Tanaka formulasymbol of generalized operator

MSC classification

Secondary: 81S25: Quantum stochastic calculus
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 83 , Issue 3 , June 2011 , pp. 401 - 412
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

The research was supported by the Natural Science Foundation of China (11061032).

References

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