Journal of Jilin Institute of Chemical Technology

Calculation of the energy level of one-dimensional linear harmonic oscillator in weak electric field

Xie Yu-peng

Published Jan 1, 2010• 0 citations

Abstract

Linear harmonic oscillator takes an important role in quantum mechanics.Many systems can be taken approximately as of linear harmonic oscillator.Consequently,the study on linear harmonic oscillator is significant in many ways.Using methods of formula and perturbation,this paper finds out the energy eigenvalue of one-dimensional linear harmonic oscillator in weak electric field,and presents clearly two typical solutions for the energy level of one-dimensional linear harmonic oscillator in weak electric field.

Related papers

The Solution of Harmonic Oscillator with Electric Charge at Electric Field in Coordinate Basis

Yinlei Wang

Using different methods,in the article,it discusses the solution of the energy eigenvalue and eigenfunction of the harmonic oscillator with electric charge at the electric field in the coordinate basis.And it points out that we not only find the approximate solution of with the static perturbation method,but also find out the precise solution.

Journal of Yibin UniversityJan 1, 20080 citations

The Solution of the Harmonic Oscillator with Electric Charge at the Electric Field in the Coordinate Basis and Energy Basis

Tao Cai-de

The paper discussed the solution of the harmonic oscillator with electric charge at the electric field in the coordinate basis and energy basis,and used the different method to deduced the eigenvalue and eigenfunction.Point that we not only find the approximate solution by using the perturbation method,but also can find the precise solution.

Journal of Huaibei Industry Teachers CollegeJan 1, 20050 citations

Several Solutions to Solving One-Dimensional Harmonic Oscillator's Energy Level

Xuehua Jiang

One-dimensional harmonic oscillator's energy eigenvalue is solved by the ways of energy way,raising-and-lowering operator way,coherent state way and double wave function way.Several simple ways of solving harmonic oscillator's energy level are given.

Journal of Yueyang Normal UniversityJan 1, 20020 citations

Solution of Harmonic Oscillator Perturbed by Electric Field

Habtamu Dagnaw

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

Advances in physics theories and applicationsJun 1, 20191 citation

The Exact Results of Onedimensional Harmonic Oscillator Perturbated with Weak Electric Field within △t Time

Wu Xin

By using the method of Heisenberg picture,this paper makes an analytical research on the probability of onedimensional harmonic oscillator perturbated with weak electric field within △t time in all its states,and obtains the exact results.

Xiaogan Xueyuan xuebaoJan 1, 20050 citations

Several Solutions to Solving Harmonic Oscillator's Energy Eigenvalue

Jiang Xue

One dimensional harmonic oscillator's energy eigenvalue is solved by the ways o f matrix dynamics way,raising and lowering operator way,coherent state way and double wave function way.Several simple ways of solving harmonic oscillator's en ergy level are given.

Journal of Nanyang Normal UniversityJan 1, 20020 citations