Probabilistic evolution approach to the expectation value dynamics of quantum mechanical operators, part II: the use of mathematical fluctuation theory-Reference-Cited by-同舟云学术

Probabilistic evolution approach to the expectation value dynamics of quantum mechanical operators, part II: the use of mathematical fluctuation theory

Published:2014-07-15 Issue:8 Volume:52 Page:2294-2315
ISSN:0259-9791
Container-title:Journal of Mathematical Chemistry
language:en
Short-container-title:J Math Chem

Author:

Ayvaz Muzaffer,Demiralp Metin

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Chemistry

Link

http://link.springer.com/content/pdf/10.1007/s10910-014-0381-6.pdf

Reference19 articles.

1. M. Ayvaz, M. Demiralp, Probabilistic evolution approach to the expectation value dynamics of quantum mechanical operators, part I:integral representation of Kronecker power series and multivariate Hausdorff moment problems, J. Math. Chem. (2014). doi: 10.1007/s10910-014-0371-8

2. P. Ehrenfest, Bemerkungüber die angenäherte Gültigkeit der klassischen Mechanik innerhalb der Quantenmechanik. Z. Phys. 45(7–8), 455–457 (1927)

3. M. Demiralp, No fluctuation approximation in any desired precision for univariate function matrix representations. J. Math. Chem. 47, 99–110 (2010). doi: 10.1007/s10910-009-9533-5

4. B. Tunga, M. Demiralp, Fluctuation free multivariate integration based logarithmic HDMR in multivariate function representation. J. Math. Chem. 49, 894–909 (2012). doi: 10.1007/s10910-010-9786-z

5. M. Demiralp, Various Parallel and Diversive Aspects of the Mathematical Fluctuations Theory with the Related Standing Issues, in 7th International Conference on Computational Methods in Science and Engineering (ICCMSE), AIP Conference Proceedings, vol. 1504, pp. 364–376 (2009). doi: 10.1063/1.4771729

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