Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization | |
Ruan, D | |
刊名 | PHYSICS LETTERS A
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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. |
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