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Quadratic form exponentials of boson operators: a collection of formulae; Exponentielles de formes quadratiques d`operateurs de bosons: un formulaire

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Abstract

This report presents some algebraic properties of exponentials of quadratic forms of boson operators. It explains their relations with Bogoliubov transformations and also with coherent states. It explains also the relations of these exponentials with quadratic functions. A paragraph is about the mean-field equations obtained with different Hamiltonians. In the second part, some formulae are used again for the one-dimension special case.
Authors:
Publication Date:
Apr 01, 1991
Product Type:
Technical Report
Report Number:
IPNO-TH-91-27
Reference Number:
SCA: 662110; 662240; PA: AIX-24:024401; SN: 93000948267
Resource Relation:
Other Information: PBD: Apr 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOSONS; MATHEMATICAL OPERATORS; ANNIHILATION OPERATORS; BOGOLYUBOV TRANSFORMATION; DENSITY MATRIX; EIGENSTATES; GAUSS FUNCTION; HAMILTONIANS; HARTREE-FOCK METHOD; HERMITIAN OPERATORS; MEAN-FIELD THEORY; ONE-DIMENSIONAL CALCULATIONS; PARTITION FUNCTIONS; 662110; 662240; THEORY OF FIELDS AND STRINGS; MODELS FOR STRONG INTERACTIONS
OSTI ID:
10127907
Research Organizations:
Paris-11 Univ., 91 - Orsay (France). Inst. de Physique Nucleaire
Country of Origin:
France
Language:
French
Other Identifying Numbers:
Other: ON: DE93617651; TRN: FR9300292024401
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
FRN
Size:
[25] p.
Announcement Date:
Jul 04, 2005

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Citation Formats

Flocard, H. Quadratic form exponentials of boson operators: a collection of formulae; Exponentielles de formes quadratiques d`operateurs de bosons: un formulaire. France: N. p., 1991. Web.
Flocard, H. Quadratic form exponentials of boson operators: a collection of formulae; Exponentielles de formes quadratiques d`operateurs de bosons: un formulaire. France.
Flocard, H. 1991. "Quadratic form exponentials of boson operators: a collection of formulae; Exponentielles de formes quadratiques d`operateurs de bosons: un formulaire." France.
@misc{etde_10127907,
title = {Quadratic form exponentials of boson operators: a collection of formulae; Exponentielles de formes quadratiques d`operateurs de bosons: un formulaire}
 author = {Flocard, H}
 abstractNote = {This report presents some algebraic properties of exponentials of quadratic forms of boson operators. It explains their relations with Bogoliubov transformations and also with coherent states. It explains also the relations of these exponentials with quadratic functions. A paragraph is about the mean-field equations obtained with different Hamiltonians. In the second part, some formulae are used again for the one-dimension special case.}
 place = {France}
 year = {1991}
 month = {Apr}
 }