介观电子谐振腔量子能谱与能量的量子涨落  

Quantum Energy Spectrum and Energy Fluctuations of Mesoscopic Electron Resonator

作　　者：崔元顺[1] 

机构地区：[1]淮阴师范学院物理系,江苏淮安223001

出　　处：《光子学报》2008年第8期1684-1687,共4页Acta Photonica Sinica

基　　金：江苏省教育厅自然科学基金(05KJD140035)资助

摘　　要：针对介观电子谐振腔模型,在由电荷算符本征态构成的新Fock空间中,假设系统具有变换的对称性,通过求解Hamilton算符的本征值方程,给出系统的量子能谱关系.在电荷算符的Fock态下计算能量的量子涨落,分析和研究电子谐振腔的量子能谱性质.结果表明:类似于电荷的量子性,能谱明显地呈现出离散性,其大小决定于谐振腔的电参量、形状因子及栅极所加偏压等因素;而能量的量子涨落却仅与电荷量子、Planck常数以及系统自感有关.For mesoscopic electron resonator model, supposing the system has symmetry under translation in charge space, the quantum energy spectrum relationship is given by solving the eigenvalue equation of Hamilton operator in new Fock space that is constructed by eigenstate of charge. The quantum fluctuations of the energy are calculated under Fock state of charge operator, and the property of quantum energy spectrum of mesoscopic electron resonator is analyzed and investigated. The results show that, similar to the quantum character of charge,energy spectrum makes a show of discreteness evidently,and its quantity is determined by the parameters of the self-inductance and capacities of system, the geometry shape factor and the gate voltage; but the quantum fluctuation of the energy is only related with the charge quantum, Planck constant and the self-inductance of system.

关 键 词：介观电子谐振腔 电荷量子化 量子能谱 量子涨落 

分 类 号：O431.2[机械工程—光学工程]