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

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...

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Bibliographic Details
Published inChinese physics letters Vol. 37; no. 5; p. 50301
Main Authors Song, Wen-Ya, Zhang, Fu-Lin
Format Journal Article
LanguageEnglish
Published 01.05.2020
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Summary: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.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/37/5/050301