# 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} }

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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