Generalized inequalities for the Bogoliubov-Duhamel inner product with applications in the Approximating Hamiltonian Method

• Published in: Condensed Matter Physics
• Date: 2011
• ISSN: 1607-324X
• Main Authors: Brankov, J.G., Tonchev, N.S.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119901
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Generalized inequalities for the Bogoliubov-Duhamel inner product with applications in the Approximating Hamiltonian Method / J.G. Brankov, N.S. Tonchev // Condensed Matter Physics. — 2011. — Т. 14, № 1. — С. 13003: 1-17. — Бібліогр.: 37 назв. — англ.

Infinite sets of inequalities which generalize all the known inequalities that can be used in the majorization step of the Approximating Hamiltonian method are derived. They provide upper bounds on the difference between the quadratic fluctuations of intensive observables of a N -particle system and...