Dynamical Algebras in the 1+1 Dirac Oscillator and the Jaynes-Cummings Model

被引：2
|
作者：
Song, Wen-Ya [1 ]
Zhang, Fu-Lin [1 ]
机构：
[1] Tianjin Univ, Sch Sci, Dept Phys, Tianjin 300072, Peoples R China
来源：
CHINESE PHYSICS LETTERS | 2020年 / 37卷 / 05期
基金：
中国国家自然科学基金;
关键词：
03; 65; Fd; Pm; 42; 50; -p; QUANTUM; SYMMETRIES;
D O I：
10.1088/0256-307X/37/5/050301
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the algebraic structure of the one-dimensional Dirac oscillator by extending the concept of spin symmetry to a noncommutative case. An SO(4) algebra is found connecting the eigenstates of the Dirac oscillator, in which the two elements of Cartan subalgebra are conserved quantities. Similar results are obtained in the Jaynes-Cummings model.
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页数：4
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