On evolution equations for marginal correlation operators
This paper is devoted to the problem of the description of nonequilibrium correlations of quantum many-particle systems. A non-perturbative solution of the Cauchy problem of the nonlinear quantum BBGKY hierarchy for marginal correlation operators is constructed as an expansion over particle clusters...
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| Date: | 2011 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут кібернетики ім. В.М. Глушкова НАН України
2011
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| Series: | Математичне та комп'ютерне моделювання. Серія: Фізико-математичні науки |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/48794 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On evolution equations for marginal correlation operators / V.I. Gerasimenko, D.O. Polishchuk // Математичне та комп'ютерне моделювання. Серія: Фізико-математичні науки: зб. наук. пр. — Кам’янець-Подільський: Кам'янець-Подільськ. нац. ун-т, 2011. — Вип. 5. — С. 44-60. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | This paper is devoted to the problem of the description of nonequilibrium correlations of quantum many-particle systems. A non-perturbative solution of the Cauchy problem of the nonlinear quantum BBGKY hierarchy for marginal correlation operators is constructed as an expansion over particle clusters which evolution is governed by the corresponding-order cumulant of the nonlinear groups of operators generated by the von Neumann hierarchy. |
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