Algebraic approach to the Tavis-Cummings model with three modes of oscillation

  title={Algebraic approach to the Tavis-Cummings model with three modes of oscillation},
  author={E. Choreno and D. Ojeda-Guill'en and V. D. Granados},
  journal={Journal of Mathematical Physics},
We study the Tavis-Cummings model with three modes of oscillation by using four different algebraic methods: the Bogoliubov transformation, the normal-mode operators, and the tilting transformation of the $SU(1,1)$ and $SU(2)$ groups. The algebraic method based on the Bogoliubov transformation and the normal-mode operators let us obtain the energy spectrum and eigenfunctions of a particular case of the Tavis-Cummings model, while with the tilting transformation we are able to solve the most… 
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