Distribution of point charges on a thin conducting disk

Oymak, H
Erkoç, Şakir
We investigate the minimum energy configuration of N equal point charges interacting via the Coulomb potential 1/r, and placed on an infinitely thin conducting disk. By minimizing total interaction Energy, we obtain numerically the minimum energy configurations from which the rules for the distribution of charges on the disk are obtained.


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Taşeli, Hasan (IOP Publishing, 1998-01-16)
The vibrational levels of diatomic molecules via Morse potentials are studied by means of the system confined in a spherical box of radius l, II is shown that there exists a critical radius l(cr),, at which the spectrum of the usual unbounded system can be calculated to any desired accuracy. The results are compared with those of Morse's classical solution which is based on the assumption that the domain of the internuclear distance r includes the unphysical region (-infinity, 0). By determining numerically...
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Oymak, H; Erkoç, Şakir (World Scientific Pub Co Pte Lt, 2001-02-01)
We have investigated the minimum-energy distribution of N, 3 ≤ N ≤ 97, equal point charges confined to the surface of a sphere. Charges interact with each other via the Coulomb potential of the form 1/r. Minimum-energy distributions have been determined by minimizing the tangential forces on each charge. Further numerical evidence shows that in the minimum-energy state of N charges on the sphere, it is not possible to place a charge at the geometrical center. Besides, it has been found that the most and rel...
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IKHDAİR, SAMEER; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2008-02-01)
We present analytically the exact energy bound-states solutions of the Schrodinger equation in D dimensions for a recently proposed modified Kratzer plus ring-shaped potential by means of the Nikiforov-Uvarov method. We obtain an explicit solution of the wave functions in terms of hyper-geometric functions (Laguerre polynomials). The results obtained in this work are more general and true for any dimension which can be reduced to the well-known three-dimensional forms given by other works.
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An empirical many-body potential energy function has been developed to investigate the structural features and energetics of ZnkCdl (k + 1 = 3, 4) microclusters. The most stable structures were found to be triangular for the three-atom clusters and tetrahedral for the four-atom clusters. The present results are in good agreement with available literature values.
IKHDAİR, SAMEER; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2008-09-01)
We present the exact solution of the Klein Gordon equation in D-dimensions in the presence of the equal scalar and vector pseudoharmonic potential plus the ring-shaped potential using the Nikiforov-Uvarov method. We obtain the exact bound state energy levels and the corresponding eigen functions for a spin-zero particles. We also find that the solution for this ring-shaped pseudoharmonic potential can be reduced to the three-dimensional (3D) pseudoharmonic solution once the coupling constant of the angular ...
Citation Formats
H. Oymak and Ş. Erkoç, “Distribution of point charges on a thin conducting disk,” INTERNATIONAL JOURNAL OF MODERN PHYSICS C, pp. 891–900, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56606.