A Method of Calculating the Energy Spectrum of an Electron in the Field of Many Potentials

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概要

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• The Schrodinger equation for an electron moving in the field of many potentials is expressed as a kind of difference equation in the approximation that the distances between the centers of adjacent potentials are much larger than the range of a potential. This procedure is exact when the range of the potential approaches zero. By solving the difference equation, we obtain an explicit formula for the energy spectrum, which contains a lattice sum of the kind treated first by Ewald. The merit of the present method lies in the fact that the potential part is separated from the lattice-structure part as far as possible, and the treatment of the electronic state in the array of many potentials is correspondingly simplified.

• 理論物理学刊行会の論文
• 1966-09-25

著者

• Hirota Toru

  Shibaura Institute Of Technology

• Hirota T.

  Shibaura Institute of Technology

関連論文

• A Method of Calculating the Energy Spectrum of an Electron in the Field of Many Potentials

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