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Dynamical Algebras in the 1+1 Dirac Oscillator and the Jaynes–Cummings Model |
| Wen-Ya Song, Fu-Lin Zhang** |
Department of Physics, School of Science, Tianjin University, Tianjin 300072
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Wen-Ya Song, Fu-Lin Zhang 2020 Chin. Phys. Lett. 37 050301 |
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Abstract 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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Received: 06 February 2020
Published: 25 April 2020
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| Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 11675119, 11575125, and 11105097). |
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