Journal directory listing - Volume 46 Number 2 (2001/October) - Mathematics, Science & Technology【46(1&2)】
Directory

Simple Solutions of the Harmonic Oscillator Integral Equation
Author: Jeng-Yih Su(Department of Physics, National Taiwan Normal University)

Vol.&No.:Vol. 46, No. 1
Date:October 2001
Pages:23-28
DOI:10.6301/JNTNU.2001.46.03

Abstract:

We employ a simple method to solve the integral equation for the energy eigenstates of the linear harmonic oscillator. The energy eigenvalues and eigenstates are all obtained in our approach. The integral equation approach of solving the oscillation problem is very helpful to the study of quantum mechanical scattering theory and complements the conventional methods of solving the differential equation or employing the operator method.

Keywords:energy eigenvalue equation, integral equation, quantum harmonic oscillator.

《Full Text》

APA FormatSu, J.-Y. (2001). Simple Solutions of the Harmonic Oscillator Integral Equation. Journal of National Taiwan Normal University: Mathematics, Science & Technology, 46(1&2), 23-28. doi:10.6301/JNTNU.2001.46.03