2025-02-23T18:29:37-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-119901%22&qt=morelikethis&rows=5
2025-02-23T18:29:37-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-119901%22&qt=morelikethis&rows=5
2025-02-23T18:29:37-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T18:29:37-05:00 DEBUG: Deserialized SOLR response
Generalized inequalities for the Bogoliubov-Duhamel inner product with applications in the Approximating Hamiltonian Method

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

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Brankov, J.G., Tonchev, N.S.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2011
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/119901
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 interactionof a boson field with matter.

Similar Items