A method for constructing non-polynomial QES potential
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.
Schrodinger equationHuen functionquasi-exact and solvable
万方数据
维普
