Research output: Contribution to journal › Article › peer-review
How the Oblate Spheroidal Coordinates Facilitate Modeling of Qouantum Rings. / Roudnev, V. A.; Puchkov, A. M.; Kozhedub, A. V.
In: Mathematical Modelling and Geometry, Vol. 5, No. 1, 2017, p. 30-40.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 7741430