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贝塞尔方程量子线边界下的解析解
引用本文:郭志超,吕昭.贝塞尔方程量子线边界下的解析解[J].新乡学院学报(自然科学版),2010,27(3):47-49.
作者姓名:郭志超  吕昭
作者单位:北京工业大学,材料学院国家教育部功能材料重点实验室217,北京,100124 
摘    要:以量子线材料中的电子分布为模型,通过分离变量,得到在此模型下的柱坐标贝塞尔方程;在物理背景下通过坐标变换,在不改变物理意义的前提下,做等效求解,得到贝塞尔方程的解析解表达式;讨论了所得结果的适用性和方法的价值。

关 键 词:贝塞尔方程  边界条件  坐标变换  解析解

The Analytic Expression of Bessel Equation under the Boundary Quantum Wire
Authors:GUO Zhi-chao  LV Zhao
Institution:(The Key Laboratory of Advanced Functional Materials 217,Ministry of Education,College of Materials Science and Engineering,Beijing University of Technology,Beijing 100124,China)
Abstract:Based on the distribution of electronic in quantum wire materials model,the cylindrical coordinate Bessel equation is obtained through the variables separation;under the background of physics,through coordinate conversion,with the premises that the physical meaning remains the same,by making equivalent solution,the analytic expression of the Bessel equation is obtained.The value of this method and the applicability of the result are discussed briefly.
Keywords:Bessel equation  boundary conditions  coordinate conversion  analytic expression
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