The quasi-exactly solvable problems for two dimensional quantum systems

Liyan Liu; Chong Hou; Liqian Wei

doi:10.3103/S0027134917010106

The quasi-exactly solvable problems for two dimensional quantum systems

Authors: Liu L.¹, Hou C.², Wei L.³
Affiliations:
1. College of Science
2. State Grid Anping County Electric Power Supply Company
3. College of Gemology and Material Technics
Issue: Vol 72, No 1 (2017)
Pages: 36-38
Section: Theoretical and Mathematical Physics
URL: https://journals.rcsi.science/0027-1349/article/view/164679
DOI: https://doi.org/10.3103/S0027134917010106
ID: 164679

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Abstract

In this paper, we study the quasi-exactly solvable problems for two dimensional quantum systems. By using the Bethe ansatz method, we obtain the general form of the quasi-exactly solvable potential. Then, we present several examples to give the specific forms of quasi-exactly solvable potentials. In the examples, some physical models of quasi-exactly solvable problems are re-exhibited.