Tavis-Cummings models and their quasi-exactly solvable Schrödinger Hamiltonians

@article{Mohamadian2019TavisCummingsMA,
  title={Tavis-Cummings models and their quasi-exactly solvable Schr{\"o}dinger Hamiltonians},
  author={Takavar Mohamadian and Javier Negro and Luis Miguel Nieto and Hossein Panahi},
  journal={The European Physical Journal Plus},
  year={2019},
  volume={134},
  pages={1-11}
}
  • Takavar Mohamadian, Javier Negro, +1 author Hossein Panahi
  • Published 2019
  • Mathematics, Physics
  • The European Physical Journal Plus
  • Abstract.We study in detail the relationship between the Tavis-Cummings Hamiltonian of quantum optics and a family of quasi-exactly solvable Schrödinger equations. The connection between them is established through the biconfluent Heun equation. We found that each invariant n-dimensional subspace of Tavis-Cummings Hamiltonian corresponds either to n potentials, each with one known solution, or to one potential with n known solutions. Among these Schrödinger potentials the quarkonium and the… CONTINUE READING

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