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The history of investigation of the muroid rodents of Ternopil region

Publikováno v: Visnyk of Lviv University. Biological series. :12-20

The analysis of historical researches about muroid rodents (Muridaе, Arvicolidaе) at the territory of Ternopil region was conducted. The investigation of muroid rodents includes three stages: general faunistic (1740–1940), populational (40–80 X

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9c3af754cdaed8bd8e5510406f7417c7
https://doi.org/10.30970/vlubs.2019.80.02

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On the solutions of the nonlinear Liouville hierarchy

Autor: V. O. Shtyk

Publikováno v: Journal of Physics A: Mathematical and Theoretical. 40:9733-9742

We investigate the initial-value problem of the non-linear Liouville hierarchy. For the general form of the interaction potential we construct an explicit solution in terms of an expansion over particle clusters whose evolution is described by the co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0de0f2b3d0f49780c13377c028713ab7
https://doi.org/10.1088/1751-8113/40/32/002

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Initial-value problem for the Bogolyubov hierarchy for quantum systems of particles

Autor: V. I. Herasymenko, V. O. Shtyk

Publikováno v: Ukrainian Mathematical Journal. 58:1329-1346

We construct cumulant (semi-invariant) representations for a solution of the initial-value problem for the Bogolyubov hierarchy for quantum systems of particles. In the space of sequences of trace-class operators, we prove a theorem on the existence

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d1333e4fb88cc8af6e5a354dbacd3a4b
https://doi.org/10.1007/s11253-006-0136-z

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Evolution of correlations of quantum many-particle systems

Autor: V. O. Shtyk, V. I. Gerasimenko

Publikováno v: Journal of Statistical Mechanics: Theory and Experiment. 2008:P03007

We consider the origin of the microscopic description of correlations in quantum systems. For correlation operators that give the alternative description of the quantum state evolution of many-particle systems, we deduce the von Neumann hierarchy of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6607f77532191b85b7e23a5b1df73e30
https://doi.org/10.1088/1742-5468/2008/03/p03007

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