The Bogolubov representation of the polaron model and its completely integrable RPA-approximation

The polaron model in ionic crystal is studied in the Bogolubov representation using a special RPA-approximation. A new exactly solvable approximated polaron model is derived and described in detail. Its free energy at finite temperature is calculated analytically. The polaron free energy in the cons...

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Bibliographic Details
Date:2010
Main Authors: Bogolubov (jr.), N.N., Prykarpatsky, Ya.A., Ghazaryan, A.A.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2010
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/32100
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Bogolubov representation of the polaron model and its completely integrable RPA-approximation / N.N. Bogolubov (jr.), Ya.A. Prykarpatsky, A.A. Ghazaryan // Condensed Matter Physics. — 2010. — Т. 13, № 2. — С. 23703: 1-10. — Бібліогр.: 24 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The polaron model in ionic crystal is studied in the Bogolubov representation using a special RPA-approximation. A new exactly solvable approximated polaron model is derived and described in detail. Its free energy at finite temperature is calculated analytically. The polaron free energy in the constant magnetic field at finite temperature is also discussed. Based on the structure of the Bogolubov unitary transformed polaron Hamiltonian there is stated a very important new result: the full polaron model is exactly solvable.