电场扰动下谐振子的解

Habtamu Dagnaw
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引用次数: 1

摘要

本文的目的是分析受电场扰动的谐振子的能量本征值。为了进行分析,我们使用了两种独立的方法,即摄动法和时间无关的薛定谔方程。计算了与时间无关的薛定谔方程的一阶能量修正、二阶能量修正和能量本征值。在两种独立的方法中发现谐振子的能量本征值是相同的。关键词:谐波振子,电场,微扰法,本征值出版日期:2019年6月30日
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Solution of Harmonic Oscillator Perturbed by Electric Field
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
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