Article citationsMore>>

Kalnins, E.G., Miller, W. and Pogosyan, G.S. (2002) The Coulomb oscillator relation on ndimensional spheres and hyperboloids. Physics of Atomic Nuclei, 65(6), 10861094.

has been cited by the following article:

• TITLE: Multidimensional electrostatic energy and classical renormalization

  AUTHORS: Sami M. ALJaber

  KEYWORDS: Electrostatic Energy; Higher

  JOURNAL NAME: Natural Science, Vol.2 No.7, July 30, 2010

  ABSTRACT: Recent interest in problems in higher space di mensions is becoming increasingly important and attracted the attention of many investigators in variety of fields in physics. In this paper, the electrostatic energy of two geometries (a charged spherical shell and a nonconducting sphere) is calculated in higher space dimension, N. It is shown that as the space dimension increases, up to N = 9, the electrostatic energy of the two geometries decreases and beyond N = 9 it increases. Furthermore, we discuss a simple example which illustrates classical renormalization in electrostatics in higher dimensions.