量子环形状如何影响其能谱
How the quantum ring shape influences its energy spectrum
摘要：
提出了一种新的量子环单粒子能谱模型。该方法是基于分离变量的薛定谔方程在扁球坐标系。本文考虑了一个具有无限壁的球量子环模型。我们的简单模型使我们能够研究不同形状的量子环的光谱。计算了基态和几个激发态的光谱，并证明了光谱的环形状依赖性。对于不同形状的环，其谱可以表现出对磁量子数的抛物线或非抛物线依赖性
英文摘要：
We propose a new approach for modeling the quantum ring single particle energy spectrum. The approach is based on separation of variables in the Schrödinger equation in oblate spheroidal coordinates. We consider a model of a spheroidal quantum ring with infinite walls. Our simple model allowed us to study the spectra for quantum rings of different shapes. The spectrum is calculated for the ground and several excited states and the ring shape dependence of the spectrum is demonstrated. The spectrum can demonstrate parabolic or non-parabolic dependence on the magnetic quantum number for different shapes of the ring
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