期刊目錄列表 - 46卷第2期(2001.10) - 【數理與科技類】46(1&2)
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簡諧震盪積分方程的簡易解
作者:蘇正義(國立臺灣師範大學物理系)

卷期:46卷第1&2期
日期:2001年10月
頁碼:23-28
DOI:10.6301/JNTNU.2001.46.03

摘要:

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。

關鍵詞:能量固有值方程式、積分方程式、量力簡諧振盪器 

《詳全文》

中文APA引文格式蘇正義(2001)。Simple Solutions of the Harmonic Oscillator Integral Equation。師大學報:數理與科技類46(1&2),23-28。doi:10.6301/JNTNU.2001.46.03
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

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