广义莫尔斯势和磁场中质量和磁动量随位置变化的粒子的保利-薛定谔方程的精确解

Zeitschrift für Naturforschung A Pub Date : 2024-05-27 DOI:10.1515/zna-2024-0021

Fethi Madouri, Abdullah Bnyah Alanzi, Abdeldjalil Merdaci

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引用次数: 0

摘要

使用尼基福罗夫-乌瓦洛夫方法求解了在广义莫尔斯势和永久磁场中具有自旋 1/2 和磁动量 μ 0 的非相对论位置相关质量的保利-薛定谔方程。分析得出了能量特征值和相应的特征函数。研究还表明，前人的研究成果似乎是一种特例。

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Exact solutions of Pauli–Schrödinger equation for a particle with position dependent mass and magnetic momentum in a generalized Morse potential and magnetic field

The Pauli–Schrodinger equation for a non-relativistic position dependent mass with spin 1/2 and magnetic momentum μ 0 in a generalized Morse potential and permanent magnetic field is solved using the Nikiforov–Uvarov method. The energy eigenvalues and the corresponding eigenfunctions are obtained analytically. It is also shown that the results established in a previous work appear to be a special case.

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Zeitschrift für Naturforschung A

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