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也谈径向矩阵元的递推关系 被引量:1

A further study on recurrence relations for radial matrix elements
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摘要 利用超位力定理及其推广形式给出了一维、二维和三维系统径向矩阵元递推关系的一般表示式,并具体求出了谐振子系统及非相对论氢原子系统中径向矩阵元的递推关系. Using hypervirial theorems and their generalizations, the general formulas of recurrence relations of the radial matrix elements for one-, two- and three-dimentional isotropic systems are given, the explicit expressions of the recurrence relations for harmonic oscillators and hydrogen atoms are established.
作者 鞠国兴
出处 《大学物理》 北大核心 2004年第5期3-6,53,共5页 College Physics
基金 国家教育委员会博士点基金资助项目(20010284036)
关键词 超位力定理 谐振子 氢原子 径向矩阵 递推关系 hypervirial theorem radial matrix elements harmonic oscillator hydrogen atom
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  • 2Morales J, Palna A, Sandoval L. Hypervirial Theorem and Ladder Operator. Recurrence Relations for Harmonic Oscillator Integrals [J]. International Journal of Quantum Chemistry, 1986, 29: 211-219.
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  • 4Nunez-Yepez H N, Lopez-Bonilla J L, Salas-Brito A L.Generalized Hypervirial and Recurrence Relations for Hydrogenic Matrix Elements [J]. Journal of Physics B:At Mot Opt Phys, 1995, 28: L527-L529.
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  • 6Martinez-y-Romero R P, Nunez-Yepez H N, Salas-Brito A L. Relativistical[y Extended Blanchard Recurrence Relations for Hydrogenic Matrix Elements [J]. Journal of Physics B: At Mot Opt Phys, 2001, 34:1 261-1 276.
  • 7井孝功,赵永芳,千正男.常用基底下径向矩阵元的递推关系[J].大学物理,2003,22(3):3-4. 被引量:3

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