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.
关键词
薛定谔方程/Huen函数/准精确可解
Key words
Schrodinger equation/Huen function/quasi-exact and solvable