| SO(2,1)不可分解表示的Boson实现 |
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| 引用本文： | 孙昌璞. SO(2,1)不可分解表示的Boson实现[J]. 辽宁师范大学学报(自然科学版), 1988, 0(1) |
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| 作者姓名： | 孙昌璞 |
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| 作者单位： | 东北师范大学 |
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| 摘 要： | 本文采用Boson实现的方法,在Heisenberg-Weyl代数的通用包络代数商空间上,研究了三维Lorentz代数SO(2,1)的一个无穷维表示。把这个表示限制到特定的子空间上,我们得到一类不可分解表示。具有物理意义的相干态表示则作为左理想相关的不可分解表示给出。
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| 关 键 词： | 通用包络代数 Boson实现 不可分解表示 相干态 |
Boson Realization of the Indecomposable Representations for SO(2,1) |
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| Sun Changpu. Boson Realization of the Indecomposable Representations for SO(2,1)[J]. Journal of Liaoning Normal University(Natural Science Edition), 1988, 0(1) |
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| Authors: | Sun Changpu |
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| Affiliation: | Northeast Normal University |
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| Abstract: | In this paper we use the method of Boson realization to study an infinite dimensional representation of the 3-dimensional Lorentz algebra SO(2,l)on the quotient space of the universal enveloping algebra of the Heisenberg-Weyl algebra. By restricting this representation to Certain Subspaces we obtain indecomposable repr(?)sentations. The physical representations related to the coherent stales are given as the left ideal relevant indecomposable representations. |
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| Keywords: | universal enveloping algebra Boson realization indecomposable representation coherent state |
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