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

被引：0
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作者：
T. Mohamadian
J. Negro
L. M. Nieto
H. Panahi
机构：
[1] University of Guilan,Department of Physics
[2] IMUVA,Departamento de Fısica Teórica, Atómica y Óptica
[3] Universidad de Valladolid,undefined
来源：
The European Physical Journal Plus | / 134卷
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摘要：
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 sextic oscillator appear.
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