球面三维谐振子的阶梯算子

Q4 Social Sciences

Revista Brasileira De Ensino De Fisica Pub Date : 2021-01-01 DOI:10.1590/1806-9126-rbef-2020-0393

João Marcos Costa Monteiro, E. Drigo Filho

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引用次数: 0

摘要

用阶梯算子求解了三维各向同性谐振子的Schrödinger方程。起点是形状不变性条件，由超对称量子力学得到。对于三个球面空间坐标，可以构造出广义阶梯算子。特别强调的是对每一个坐标所作的调整。所使用的方法是通用的，并表示为解决Schrödinger方程的替代方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Ladder Operators for the Spherical 3D Harmonic Oscillator

The Schrödinger equation for an isotropic three-dimensional harmonic oscillator is solved using ladder operators. The starting point is the shape invariance condition, obtained from supersymmetric quantum mechanics. Generalized ladder operators can be constructed for the three spherical spatial coordinates. Special emphasis is given to the adaptation made to each of these coordinates. The approach used is general and is indicated as an alternative method to solve the Schrödinger equation.

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来源期刊

Revista Brasileira De Ensino De Fisica 物理-物理：综合

CiteScore

0.50

自引率

0.00%

发文量

102

审稿时长

6-12 weeks

期刊介绍： The Revista Brasileira de Ensino de Física - RBEF - is an open-access journal of the Brazilian Physical Society (SBF) devoted to the improvement of Physics teaching at all academic levels. Through the publication of peer-reviewed, high-quality papers, we aim at promoting Physics and correlated sciences, thus contributing to the scientific education of society. The RBEF accepts papers on theoretical and experimental aspects of Physics, materials and methodology, history and philosophy of sciences, education policies and themes relevant to the physics-teaching and research community.