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Additional restrictions on quasi-exactly solvable systems

Sergey Klishevich
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Abstract

In this paper we discuss constraints on two-dimensional quantum-mechanical systems living in domains with boundaries. The constrains result from the requirement of hermicity of corresponding Hamiltonians. We construct new two-dimensional families of formally exactly solvable systems and applying such constraints show that in real the systems are quasi-exactly solvable at best. Nevertheless in the context of pseudo-Hermitian Hamiltonians some of the constructed families are exactly solvable.

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Sergey Klishevich. 2006-04-25. Additional restrictions on quasi-exactly solvable systems. https://doi.org/10.1007/s11232-007-0015-2

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