New technique for solving harmonic oscillator system in momentum space

A. Ahmed, H. Hussein
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Abstract

Laplace transformation has been used for solving Schrodinger equation in momentum space without using integral equation (Fourier transformation) because it is much harder and more complicated. Furthermore, energy spectra and particle distributions have been demonstrated by using Schrodinger differential equation without ignoring dimensions or units. In addition, a maple program has also been considered to solve the method since it can help to pave a way for other models to work in quantum mechanics.
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求解动量空间谐振子系统的新技术
在求解动量空间中的薛定谔方程时,一直采用拉普拉斯变换而不使用积分方程(傅里叶变换),因为它更加困难和复杂。此外,利用薛定谔微分方程,在不忽略维度和单位的情况下,证明了能量谱和粒子分布。此外,一个枫程序也被认为可以解决这个方法,因为它可以帮助为其他模型在量子力学中的工作铺平道路。
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