#### Title

On a solution method for the bound energy states of a particle in a one-dimensional symmetric finite square well potential

#### Document Type

Article

#### Publication Date

6-17-2019

#### Abstract

We present details of a new solution method for the bound energy states of a quantum particle in a one-dimensional symmetric finite square well potential. The solution is obtained in a clear way by introducing a simple method that relies on the use of two auxiliary functions. The approach is straightforward and leads to the well-known even and odd parity wave function solutions of the problem without having to do any a priori assumptions about the nature or symmetry of the quantum states.

#### Recommended Citation

Ciftja, O., & Johnston, B. (2019). On a solution method for the bound energy states of a particle in a one-dimensional symmetric finite square well potential. Retrieved from https://digitalcommons.pvamu.edu/chemistry-physics-facpubs/166