Solution of Harmonic Oscillator Perturbed by Electric Field

Abstract

The aim of this work is to analyze the energy eigen value of harmonic oscillator perturbed by electric field.  In order to carry out the analysis, we have used two independent methods, suchas  the perturbation method and time independent schrodinger equation. We have calculated the first order energy correction, second order energy correction , and the energy eigen value for time independent schrodinger equation. It has been found that the energy eigen value of harmonic oscillator is the same in two independent methods. Keywords: Harmonic ocillator, Electric Field, Perturbation Method , Eigen value.                      DOI : 10.7176/APTA/78-01 Publication date :June 30 th 2019