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ヤマガミ ヒロシ
YAMAGAMI HIROSHI
山上 浩志 所属 京都産業大学 理学部 物理科学科 職種 教授 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 1998/08 |
| 形態種別 | 研究論文 |
| 査読 | 査読あり |
| 標題 | Strong electron correlation in a localized state described in terms of extended states: General formulation and illustration in a helium atom |
| 執筆形態 | その他 |
| 掲載誌名 | JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN |
| 出版社・発行元 | PHYSICAL SOC JAPAN |
| 巻・号・頁 | 67(8),pp.2695-2714 |
| 担当区分 | 筆頭著者 |
| 著者・共著者 | H Yamagami,Y Takada |
| 概要 | A formulation is proposed to treat the ground-state properties of an assembly of electrons, interacting mutually through the Coulomb potential and confined by an external potential V whose maximum is finite so that both bound and extended continuum states appear as eigen states for the one-body Hamiltonian composed of the electron kinetic energy and V. These extended states are found to play a crucial role in incorporating the effect of electron correlation into the localized ground-state many-electron wave function. As an illustration of our formalism, the ground-state energy of a He atom is calculated in its simplest version and compared rather successfully with experiment as well as the results in other serious numerical methods. We also calculate the density and pair distribution functions in the same version. Special attention is paid to the latter function in this system in order to elucidate a qualitative difference from that in the homogeneous electron gas. This function shows clearly that the two electrons with opposite spins in He correlate strongly over quite a long range in contrast to the common expectation that the ground-state wave function for the He atom can be described accurately in the Hartree-Fock approximation. |
| DOI | 10.1143/JPSJ.67.2695 |
| ISSN | 0031-9015 |