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Boson subalgebras and classification of boson state vectors

Boson subalgebras and classification of boson state vectors In the construction and classification of the possible state vectors of a limited number of boson modes, the use of subalgebras of invariant operators can simplify the procedure. The subalgebra of all the invariant operators (invariant subalgebra) and the subalgebra generated by the invariant-pair operators (invariant-pair subalgebra) are both considered. The invariant-pair subalgebra has the decisive advantage of allowing the easy evaluation of matrix elements. The construction problem is reduced to the problem of constructing the invariant-pair-free states, and a general procedure for determining these states is presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Boson subalgebras and classification of boson state vectors

Physical Review D , Volume 32 (6) – Sep 15, 1985
10 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1985 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.32.1520
Publisher site
See Article on Publisher Site

Abstract

In the construction and classification of the possible state vectors of a limited number of boson modes, the use of subalgebras of invariant operators can simplify the procedure. The subalgebra of all the invariant operators (invariant subalgebra) and the subalgebra generated by the invariant-pair operators (invariant-pair subalgebra) are both considered. The invariant-pair subalgebra has the decisive advantage of allowing the easy evaluation of matrix elements. The construction problem is reduced to the problem of constructing the invariant-pair-free states, and a general procedure for determining these states is presented.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Sep 15, 1985

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