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耗散介观电子谐振腔的量子kirchhoff方程与量子能谱
引用本文:金海兰,崔元顺. 耗散介观电子谐振腔的量子kirchhoff方程与量子能谱[J]. 淮阴师范学院学报(自然科学版), 2007, 6(2): 122-125
作者姓名:金海兰  崔元顺
作者单位:延边大学理工学院,物理系,吉林,延吉,133002;淮阴师范学院,物理系,江苏,淮安,223001;淮阴师范学院,物理系,江苏,淮安,223001
基金项目:江苏省教育厅自然科学基金资助项目(05KJD140035)
摘    要:基于电荷离散化的事实,实现对耗散介观电子谐振腔的量子化.运用Heisenberg运动方程给出体系的量子kirchhoff方程;通过求解体系Hamilton算符的本征值方程分析和研究体系的量子能谱性质.结果表明,量子回路方程、量子能谱均与电荷的量子性质有关.

关 键 词:耗散介观电子谐振腔  电荷量子化  量子kirchhoff方程  量子能谱
文章编号:1671-6876(2007)02-0122-04
修稿时间:2007-02-03

Quantum Kirchhoff's Equation and Energy Spectrum of Mesoscopic Electron Resonator with Linear Dissipation
JIN Hai-lan,CUI Yuan-shun. Quantum Kirchhoff's Equation and Energy Spectrum of Mesoscopic Electron Resonator with Linear Dissipation[J]. Journal of Huaiyin Teachers College(Natrual Science Edition), 2007, 6(2): 122-125
Authors:JIN Hai-lan  CUI Yuan-shun
Affiliation:1. Department of Physics, College of Science and Engineering, Yanbian University, Yanji Jilin, 133002, China;2.Depatment of Physics, Huaiyin Teachers College, Huaian Jiangsu, 223001, China
Abstract:On the basis of the charge discreteness,the mesoscopic electron resonator with linear dissipation is quantized.Quantum Kirchhoff's equation of the system is given by Heisenberg's moving equation,and the characters of quantum energy spectrum are analyzed and investigated by solving the eigenvalue equation of Hamilton operator.The results show that the quantum Kirchhoff's equation and the quantum energy spectrum are all related with the property of charge quantization.
Keywords:mesoscopic electron resonator with linear dissipation  charge quantization  quantum Kirchhoff's equation  quantum energy spectrum
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