用Nikiforov-Uvarov方法研究具有二维赝谐势的量子赝点系统
A study of quantum pseudodot system with a two-dimensional pseudoharmonic potential using Nikiforov-Uvarov method
摘要：
本文用Nikiforov-Uvarov方法计算了点内强均匀磁场和赝点内Aharonov-Bohm通量场中二维电子气与精确可解赝谐振约束势相互作用的束缚态（能谱和波函数）.我们统一处理了薛定谔和自旋0的Klein-Gordon能谱和波函数随化学势参数、磁场强度、AB通量场和磁量子数的变化关系。得到了带间光吸收系数和阈值吸收频率随外加磁场和量子点几何尺寸的解析表达式。计算了GaAs的能级随温度的变化。
英文摘要：
We use the Nikiforov-Uvarov method to calculate the bound states (energy spectra and wave functions) of a two-dimensional (2D) electron gas interacted with an exactly solvable pseudoharmonic confinement potential in a strong uniform magentic field inside dot and Aharonov-Bohm flux field inside a pseudodot. We give a unified treatment for both Schrödinger and spin-0 Klein-Gordon energy spectrum and wave functions as functions of chemical potential parameter, magnetic field strength, AB flux field and magnetic quantum number. We obtain analytic expression for the light interband absorption coefficient and threshold frequency of absorption as functions of applied magnetic field and geometrical size of quantum pseudodot. The temperature dependence energy levels for GaAs are also calculated.
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