Direct Sum of Coulomb Potential without Ambiguities of Conditionally Convergent Series

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概要

• 論文の詳細を見る

• We propose a definitive expression to evaluate electrostatic energies under periodic conditions, starting from the Yukawa potential with a finite range and summing up positive and negative contributions separately. We find a dimension-dependent function that can be used to solve problems concerning divergences and ambiguities in the direct sum of Coulomb potentials. The infinite-range limit of this function leads to a universal constant independent of lattice structure, which reveals the origin of ambiguities from conditionally convergent series in the sum of Coulomb potentials.

• 理論物理学刊行会の論文
• 2003-04-25

著者

• Tohsaki A

  Shinshu Univ. Ueda Jpn

• 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

• OHYAMA Taisei

  Department of Fine Materials Engineering, Shinshu University

• Ohyama Taisei

  Department Of Fine Materials Engineering Shinshu University : (present Address) The Japan Research I

• OHYAMA Taisei

  Department of Fine Materials Engineering, Shinshu University : (Present address) The Japan Research Institute, Limited

• TAKEMOTO Hiroki

  Department of Physics, Kyoto University

• TAKEMOTO Hiroki

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

• TAKEMOTO Hiroki

  Department of Fine Materials Engineering, Shinshu University

• TOHSAKI Akihiro

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

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