On the asymptotics of eigenvalues for a Sturm-Liouville problem with symmetric single-well potential

Abstract

In this article, Sturm-Liouville problem with one boundary condition including an eigenparameter is considered, and the asymptotic expansion of its eigenparameter is calculated. The problem also has a symmetric single-well potential, which is an important function in quantum mechanics.

Keywords

• sturm-liouville problem
• symmetric single-well potential
• eigenvalue parameter in the boundary condition
• asymptotic expansions
• 34b30
• 34l15