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Two-boson realizations of the polynomial angular momentum algebra and some applications

文献类型：期刊论文

作者Ruan, D
刊名JOURNAL OF MATHEMATICAL CHEMISTRY
出版日期2006-02-01
卷号39页码:417-440
关键词polynomial angular momentum algebra Higgs algebra boson realization Kepler system phase operator
ISSN号0259-9791
DOI10.1007/s10910-005-9025-1
英文摘要In this paper two kinds of two-boson realizations of the polynomial angular momentum algebra are obtained by generalizing the well known Jordan-Schwinger realizations of the SU(2) and SU(1,1) algebras. Especially, for the Higgs algebra, an unitary realization and two nonunitary realizations, together with the properties of their respective acting spaces are discussed in detail. Furthermore, similarity transformations, which connect the nonunitary realizations with the unitary ones, are gained by solving the corresponding unitarization equations. As applications, the dynamical symmetry of the Kepler system in a two-dimensional curved space is studied and phase operators of the Higgs algebra are constructed.
WOS关键词NONLINEAR COHERENT STATES ; BOSON REALIZATIONS ; NUCLEAR-PHYSICS ; LIE-ALGEBRAS ; SU(2) ; REPRESENTATION ; DEFORMATIONS ; OSCILLATORS ; SYMMETRIES ; MECHANICS
WOS研究方向Chemistry ; Mathematics
语种英语
WOS记录号WOS:000235607400012
出版者SPRINGER
源URL[http://119.78.100.186/handle/113462/26905]  
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, Minist Educ, Key Lab Quantum Informat & Measurements, 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. Two-boson realizations of the polynomial angular momentum algebra and some applications[J]. JOURNAL OF MATHEMATICAL CHEMISTRY,2006,39:417-440.
APA Ruan, D.(2006).Two-boson realizations of the polynomial angular momentum algebra and some applications.JOURNAL OF MATHEMATICAL CHEMISTRY,39,417-440.
MLA Ruan, D."Two-boson realizations of the polynomial angular momentum algebra and some applications".JOURNAL OF MATHEMATICAL CHEMISTRY 39(2006):417-440.

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来源：近代物理研究所

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