Quantum particle on the surface of a spherocylindrical capsule

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-01-31 DOI:10.1016/j.aop.2025.169944

S. Habib Mazharimousavi, Elham Poorkahnooji

引用次数: 0

Abstract

We study a spinless, nonrelativistic quantum particle confined to the curved surface of a homogeneous spherocylindrical capsule. We use Costa’s method to formulate and solve the relevant Schrödinger equation for this particle with only a confining potential, causing it to remain on the surface and free to move. We obtain the entire spectrum of the particle on the curved surface, demonstrating how the capsule’s length-to-radius ratio influences the particle’s eigenenergies and eigenfunctions.

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球形胶囊表面的量子粒子

我们研究了一个无自旋的、非相对论性的量子粒子，它被限制在均匀球圆柱胶囊的曲面上。我们使用Costa的方法来制定和解决相关的Schrödinger方程，该粒子只有一个限制势，使其保持在表面上并自由移动。我们得到了粒子在曲面上的整个光谱，展示了胶囊的长半径比如何影响粒子的本征能量和本征函数。

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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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.