简单谐波量子振荡器:分数化与求解

Q4 Engineering
I. Batiha, I. Jebril, Abeer A. Al-Nana, Shameseddin Alshorm
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引用次数: 0

摘要

在量子领域模仿经典谐波振荡器行为的量子力学系统被称为简谐量子振荡器。与时间无关的薛定谔方程描述了量子谐振子,其特征状态是对应于各种能级的量子化能量值。在这项工作中,我们首先将与时间无关的薛定谔方程分式化,然后利用阿多米分解方法解决产生的问题。研究表明,利用所提出的方法可以有效地处理分数量子谐振子,从而更好地理解它们的行为。我们通过大量的数值比较验证了该方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A simple harmonic quantum oscillator: fractionalization and solution
A quantum mechanical system that mimics the behavior of a classical harmonic oscillator in the quantum domain is called a simple harmonic quantum oscillator. The time-independent Schrödinger equation describes the quantum harmonic oscillator, and its eigenstates are quantized energy values that correspond to various energy levels. In this work, we first fractionalize the time-independent Schrödinger equation, and then we solve the generated problem with the use of the Adomian decomposition approach. It has been shown that fractional quantum harmonic oscillators can be handled effectively using the proposed approach, and their behavior can then be better understood. The effectiveness of the method is validated by a number of numerical comparisons.
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来源期刊
CiteScore
0.10
自引率
0.00%
发文量
8
审稿时长
10 weeks
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