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

文献类型：期刊论文

作者Ruan, D
刊名PHYSICS LETTERS A
出版日期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
DOI10.1016/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
WOS记录号WOS:000186949400019
出版者ELSEVIER SCIENCE BV
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.

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来源：近代物理研究所

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