Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization

doi:10.1016/j.physleta.2003.10.011

	Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization
	Ruan, D
刊名	PHYSICS LETTERS A
	2003-12-01
卷号	319 页码:122-129
关键词	polynomial angular momentum algebra Boson realization indecomposable representation induced representation
ISSN号	0375-9601
DOI	10.1016/j.physleta.2003.10.011
英文摘要	The inhomogeneous single-, two- and three-boson realizations of the more general polynomial angular momentum algebra SULambda(2) are obtained from the Fock representations of SULambda(2) that correspond to the indecomposable representation on the space of universal enveloping algebra U(SULambda(2)) and to the,induced representations on the quotient spaces U(SULambda(2))I-i, with Ii being some left ideals with respect to U(SULambda(2)). Then these boson realizations are unitarized by the corresponding similarity transformations: As examples, the explicit expressions for the similarity transformations used to unitarize the inhomogeneous single-boson realizations of SU2 (2) and the Higgs algebra are respectively calculated. (C) 2003 Elsevier B.V. All rights reserved.
WOS关键词	NONLINEAR LIE-ALGEBRAS ; INDECOMPOSABLE REPRESENTATIONS ; DEFORMED OSCILLATOR ; SU(2) ; DEFORMATIONS ; SYMMETRY
WOS研究方向	Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000186949400019
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/38704]
专题	中国科学院近代物理研究所
通讯作者	Ruan, D
作者单位	1.Tsing Hua Univ, Key Lab Quantum Informat & Measurements, Minist Educ, Beijing 100084, Peoples R China 2.Tsing Hua Univ, Dept Phys, Beijing 100084, Peoples R China 3.Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Ruan, D. Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization[J]. PHYSICS LETTERS A,2003,319:122-129.
APA	Ruan, D.(2003).Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization.PHYSICS LETTERS A,319,122-129.
MLA	Ruan, D."Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization".PHYSICS LETTERS A 319(2003):122-129.