Dependence of the Electrostatic Energy on the Dimension of the Periodicity in a Uniform Background(Nuclear Physics)

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概要

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• We consider an array of Gaussian functions in order to account for the self-energy of an element, and we derive an expression for its electrostatic energy. In this expression, the number of dimensions of space and the periodicity can be generalized to take arbitrary real number values. The electrostatic energy evaluated in this manner increases with the number of dimensions of the periodicity, in contrast to the irregular dependence of the electrostatic energy evaluated from an expression for point charges, like in the Ewald method. In the limit of an array of δ functions, the electrostatic energy has a singularity at (d-1) -dimensional periodicity in d-dimensional space, due to the self-energy of an element.

• 理論物理学刊行会の論文
• 2004-09-25

著者

• Tohsaki Akihiro

  Department Of Fine Materials Engineering Shinshu University

• TOHSAKI Akihiro

  Suzuki Corporation

• Takemoto Hiroki

  Department Of Electrical Engineering Faculty Of Engineering Ryukyu University

• Takemoto Hiroki

  Department Of Fine Materials Engineering Shinshu University:(present Address)department Of Physics K

• TAKEMOTO Hiroki

  Department of Physics, Kyoto University

• TAKEMOTO Hiroki

  Department of Fine Materials Engineering, Shinshu University:(Present address)Department of Physics, Kyoto University

• TOHSAKI Akihiro

  Physique Nucleaire Theorique et Physique Mathematique Universite Libre de Bruxelles:Department of Physics, University of Oxford

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