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Contractions of Product Density Operators of Systems of Identical Fermions and Bosons
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-30
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
Recurrence and explicit formulae for contractions (partial traces) of antisymmetric and symmetric products of identical trace class operators are derived.
Contractions of product density operators of systems of identical fermions and bosons are proved to be asymptotically equivalent to, respectively, antisymmetric and symmetric products of density operators of a single particle, multiplied by a normalization integer.
The asymptotic equivalence relation is defined in terms of the thermodynamic limit of expectation values of observables in the states represented by given density operators.
For some weaker relation of asymptotic equivalence, concerning the thermodynamic limit of expectation values of product observables, normalized antisymmetric and symmetric products of density operators of a single particle are shown to be equivalent to tensor products of density operators of a single particle.
American Psychological Association (APA)
Radzki, Wiktor. 2010. Contractions of Product Density Operators of Systems of Identical Fermions and Bosons. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-26.
https://search.emarefa.net/detail/BIM-505733
Modern Language Association (MLA)
Radzki, Wiktor. Contractions of Product Density Operators of Systems of Identical Fermions and Bosons. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-26.
https://search.emarefa.net/detail/BIM-505733
American Medical Association (AMA)
Radzki, Wiktor. Contractions of Product Density Operators of Systems of Identical Fermions and Bosons. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-26.
https://search.emarefa.net/detail/BIM-505733
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505733