The inverse eighth degree anharmonic oscillator

Abstract

The Laplace transform and its inverse are applied to a soluble system of linear differential equations and the result combined with the use of the computer algebra package MAPLE V to obtain a quadruple convergent hypergeometric representation of a solution of a Schroedinger equation of an inverse eighth degree one dimensional oscillator.

Keywords

• anharmonic oscillator
• laplace transform
• multiple hypergeometric series