Simple Solutions of the Harmonic Oscillator Integral Equation
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Date
2001-10-??-
Authors
蘇正義
Jeng-Yih Su
Journal Title
Journal ISSN
Volume Title
Publisher
國立臺灣師範大學研究發展處
Office of Research and Development
Office of Research and Development
Abstract
吾人採用一簡單方法，以解量子力學簡諧振盪器之能量固有態的積分方程式。在此積分方程式解法中，吾人可得到所有得能量固有值與能量固有態。積分方程式的解法有助於探討量力散射理論；與解微分方程式或用算符方法的傳統解法有互補的功能。
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.
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.