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The quasi-exactly solvable problems for two dimensional quantum systems
Authors:Liyan Liu  Chong Hou  Liqian Wei
Affiliation:1.College of Science,Civil Aviation University of China,Tianjin,China;2.State Grid Anping County Electric Power Supply Company,Hengshui Anping County,China;3.College of Gemology and Material Technics,Shijiazhuang University of Economics,Shijiazhuang,China
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.
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