Mathematical expressions for a system of two identical uniformly charged rods
Mathematical expressions for a system of two identical uniformly charged rods
复制标题
两个相同的均匀带电棒系统的数学表达式
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Myegan Griffin
中科院分区：
文献类型：
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作者：
O. Ciftja;Giancarlo Paredes;Myegan Griffin
具有各种对称性的均匀带电体对许多学科中的许多模型都有很大的兴趣。特别是，有许多物理和生物系统包含棒状带电粒子。在这项工作中，我们考虑一个系统的两个相同的均匀带电的杆和计算它们之间的取向的一个特殊情况下的静电相互作用能。第一种方法，依赖于标准的集成方法，使我们能够获得一个精确的解析表达式，在这种情况下，这样的相互作用。应用第二种不同的方法来解决同一个问题，导致数学表达式涉及广义？超几何函数，一种在该领域中不经常遇到的特殊函数。这两个结果的比较导致有趣的数学身份，可能是感兴趣的广大观众的研究人员在数学和物理科学。
Uniformly charged bodies with various symmetries are of great interest to many models in several disciplines. In particular, there are numerous physical and biological systems that contain rod-like charged particles. In this work, we consider a system of two identical uniformly charged rods and calculate their electrostatic interaction energy for a special case of orientation between them. A first approach that relies on standard integration methods allows us to obtain an exact analytic expression for such an interaction in this case. Application of a second different method to the same problem leads to mathematical expressions involving generalized ?> hypergeometric functions, a class of special functions not frequently encountered in the field. Comparison of the two results leads to interesting mathematical identities that might be of interest to a broad audience of researchers working in mathematical and physical sciences.