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Mathematical basis of computational statistical physics and quantum analysis

✍ Scribed by Masuo Suzuki

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
49 KB
Volume
127
Category
Article
ISSN
0010-4655

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✦ Synopsis

A mathematical basis of quantum Mote Carlo methods is discussed using the exponential product formulas (Suzuki, 1966;Trotter, 1959) which have been generalized by the present author to infinite order (Suzuki, 1990). The investigation of this scheme has inspired the author to construct a new mathematical framework of quantum analysis (Suzuki, 1990;1991; 1992), namely a noncommutative derivative of f (A) for an operator with respect to the operator A itself. Applications of this quantum analysis to statistical mechanics are discussed briefly (Suzuki, 1991; 1992).

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