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

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

URL: http://arxiv.org/abs/2002.02681v2
Date: Tue, 28 Apr 2020 04:27:18 GMT
Title: Dynamical Algebras in the 1+1 Dirac Oscillator and the Jaynes-Cummings Model
Authors: Wen-Ya Song and Fu-Lin Zhang
Abstract summary: We extend the concept of spin symmetry to a noncommutative case. An SO(4) algebra is found connecting the eigenstates of the Dirac oscillator. Similar results are obtained in the Jaynes--Cummings model.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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