J. G. Brankov, N. S. Tonchev. Generalized inequalities for the Bogoliubov-duhamel inner product with applications in the Approximating Hamiltonian Method


Natural Sciences / Physics / Mathematical Physics

Submitted on: Sep 10, 2012, 14:39:36

Description: 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 the corresponding Bogoliubov-Duhamel inner product. The novel feature is that, under sufficiently mild conditions, the upper bounds have the same form and order of magnitude with respect to N for all the quantities derived by a finite number of commutations of an original intensive observable with the Hamiltonian. The results are illustrated on two types of exactly solvable model systems: one with bounded separable attraction and the other containing interaction of a boson field with matter.

The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

To read the article posted on Intellectual Archive web site please click the link below.

J_Brankov__Generalized_inequalities.pdf



© Shiny World Corp., 2011-2024. All rights reserved. To reach us please send an e-mail to support@IntellectualArchive.com