College Physics ›› 2024, Vol. 43 ›› Issue (04): 10-.doi: 10.16854/j.cnki.1000-0712.230106
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HU Fu-wang, XIAO Bei
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Abstract: There are many approachs to construct quasi-exact solvable problems, such as supersymmetric method, Darboux method, Lie algebra method, etc., but the quasi-exact solvable problems constructed by these methods are often polynomial wave functions. Starting from a class of double well with parametric variation, we study the properties related to the parameters, and find a method to construct QES potential. The QES potential constructed by this method has Lie algebraic structure, but the form of the wave function is non-polynomial.
Key words: Schrodinger equation, Huen function, quasi-exact and solvable
HU Fu-wang, XIAO Bei. A method for constructing non-polynomial QES potential[J].College Physics, 2024, 43(04): 10-.
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URL: https://dxwl.bnu.edu.cn/EN/10.16854/j.cnki.1000-0712.230106
https://dxwl.bnu.edu.cn/EN/Y2024/V43/I04/10
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