Abstract
The paper deals with the problem of a rigorous description of the evolution of states of large particle quantum systems in terms of correlation operators. A nonperturbative solution to a Cauchy problem of a hierarchy of nonlinear evolution equations for a sequence of marginal correlation operators is constructed. Moreover, in the case where the initial states are specified by a one-particle density operator, the mean field scaling asymptotic behavior of the constructed marginal correlation operators is considered.
Key words: Group of nonlinear operators, marginal correlation operator, nonlinear BBGKY hierarchy, scaling limit.
Full Text
Article Information
| Title | Evolution of correlation operators of large particle quantum systems |
| Source | Methods Funct. Anal. Topology, Vol. 23 (2017), no. 2, 123-132 |
| MathSciNet |
MR3668809 |
| zbMATH |
06810672 |
| Milestones | Received 05/02/2017 |
| Copyright | The Author(s) 2017 (CC BY-SA) |
Authors Information
V. I. Gerasimenko
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka, Kyiv, 01601, Ukraine
Citation Example
V. I. Gerasimenko, Evolution of correlation operators of large particle quantum systems, Methods Funct. Anal. Topology 23
(2017), no. 2, 123-132.
BibTex
@article {MFAT967,
AUTHOR = {V. I. Gerasimenko},
TITLE = {Evolution of correlation operators of large particle quantum systems},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {23},
YEAR = {2017},
NUMBER = {2},
PAGES = {123-132},
ISSN = {1029-3531},
MRNUMBER = {MR3668809},
ZBLNUMBER = {06810672},
URL = {http://mfat.imath.kiev.ua/article/?id=967},
}
