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arXiv · 2005.10340

Tavis-Cummings models and their quasi-exactly solvable Schr\"odinger Hamiltonians

T. Mohamadian·J. Negro·L. M. Nieto·H. Panahi
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Abstract

We study in detail the relationship between the Tavis-Cummings Hamiltonian of quantum optics and a family of quasi-exactly solvable Schr\"odinger equations. The connection between them is stablished 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 Schr\"odinger potentials appear the quarkonium and the sextic oscillator.

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T. Mohamadian, J. Negro, L. M. Nieto, H. Panahi. 2020-05-20. Tavis-Cummings models and their quasi-exactly solvable Schr\"odinger Hamiltonians. https://arxiv.org/abs/2005.10340

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