TY - JOUR

T1 - How the Oblate Spheroidal Coordinates Facilitate Modeling of Qouantum Rings

AU - Roudnev, V. A.

AU - Puchkov, A. M.

AU - Kozhedub, A. V.

PY - 2017

Y1 - 2017

N2 - We propose a new approach for modeling three-dimensional single particle quantum rings based on separation of variables in oblate spheroidal coordinates. This approach has an advantage in the variety of the ring cross sections that can be modeled with high computational efficiency. We illustrate this by studying the shape dependence of the energy spectrum for a single particle confined to the ring of triangular cross section. The spectrum can demonstrate parabolic or non-parabolic behavior as a function of the magnetic quantum number depending on the ring profile.

AB - We propose a new approach for modeling three-dimensional single particle quantum rings based on separation of variables in oblate spheroidal coordinates. This approach has an advantage in the variety of the ring cross sections that can be modeled with high computational efficiency. We illustrate this by studying the shape dependence of the energy spectrum for a single particle confined to the ring of triangular cross section. The spectrum can demonstrate parabolic or non-parabolic behavior as a function of the magnetic quantum number depending on the ring profile.

KW - quantum rings

KW - spectrum

KW - shape

M3 - Article

VL - 5

SP - 30

EP - 40

JO - Mathematical Modelling and Geometry

JF - Mathematical Modelling and Geometry

SN - 2311-1275

IS - 1

ER -