| Two-boson realizations of the polynomial angular momentum algebra and some applications | |
| Ruan, D | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | polynomial angular momentum algebra Higgs algebra boson realization Kepler system phase operator NONLINEAR COHERENT STATES BOSON REALIZATIONS NUCLEAR-PHYSICS LIE-ALGEBRAS SU(2) REPRESENTATION DEFORMATIONS OSCILLATORS SYMMETRIES MECHANICS Chemistry, Multidisciplinary Mathematics, Interdisciplinary Applications |
| 中文摘要 | 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. |
| 语种 | 英语 ; 英语 |
| 出版者 | SPRINGER ; NEW YORK ; 233 SPRING STREET, NEW YORK, NY 10013 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/14937]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Ruan, D. Two-boson realizations of the polynomial angular momentum algebra and some applications[J],2010, 2010. |
| APA | Ruan, D.(2010).Two-boson realizations of the polynomial angular momentum algebra and some applications.. |
| MLA | Ruan, D."Two-boson realizations of the polynomial angular momentum algebra and some applications".(2010). |
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