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Chernoff's Theorem and Discrete Time Approximations of Brownian Motion on Manifolds

✍ Scribed by Oleg G. Smolyanov; Heinrich v. Weizsäcker; Olaf Wittich


Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
392 KB
Volume
26
Category
Article
ISSN
0926-2601

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A general formulation for discrete-time quantum mechanics, based on Feynman's method in ordinary quantum mechanics, is presented. It is shown that the ambiguities present in ordinary quantum mechanics (due to noncommutativity of the operators), are no longer present here. Then the criteria for the u