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

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Title: Dynamical Algebras in the 1+1 Dirac Oscillator and the Jaynes–Cummings Model.
Authors: Song, Wen-Ya (AUTHOR), Zhang, Fu-Lin (AUTHOR) flzhang@tju.edu.cn
Source: Chinese Physics Letters. May2020, Vol. 37 Issue 5, p1-4. 4p.
Subjects: Jaynes-Cummings model, Algebra, Noncommutative algebras
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. [ABSTRACT FROM AUTHOR]
Copyright of Chinese Physics Letters is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
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  Data: Dynamical Algebras in the 1+1 Dirac Oscillator and the Jaynes–Cummings Model.
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  Data: <searchLink fieldCode="AR" term="%22Song%2C+Wen-Ya%22">Song, Wen-Ya</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Fu-Lin%22">Zhang, Fu-Lin</searchLink> (AUTHOR)<i> flzhang@tju.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Chinese+Physics+Letters%22">Chinese Physics Letters</searchLink>. May2020, Vol. 37 Issue 5, p1-4. 4p.
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  Label: Abstract
  Group: Ab
  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Chinese Physics Letters is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1088/0256-307X/37/5/050301
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      – Code: eng
        Text: English
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        PageCount: 4
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      – SubjectFull: Jaynes-Cummings model
        Type: general
      – SubjectFull: Algebra
        Type: general
      – SubjectFull: Noncommutative algebras
        Type: general
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      – TitleFull: Dynamical Algebras in the 1+1 Dirac Oscillator and the Jaynes–Cummings Model.
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            NameFull: Song, Wen-Ya
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              Text: May2020
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