中国物理B ›› 2012, Vol. 21 ›› Issue (6): 63101-063101.doi: 10.1088/1674-1056/21/6/063101
• ATOMIC AND MOLECULAR PHYSICS • 上一篇 下一篇
I. I. Guseinov
I. I. Guseinov†
摘要: The formulae are established in position, momentum, and four-dimensional spaces for the one-range addition theorems of generalized integer and noninteger μ Coulomb, and exponential type correlated interaction potentials with hyperbolic cosine (GCTCP and GETCP HC). These formulae are expressed in terms of one-range addition theorems of complete orthonormal sets of Ψα -exponential type orbitals (Ψα -ETO), φα -momentum space orbitals (φα -MSO), and zα -hyperspherical harmonics (zα-HSH) introduced. The one-range addition theorems obtained can be useful in the electronic structure calculations of atoms and molecules when the GCTCP and GETCP HC in position, momentum, and four-dimensional spaces are employed.
中图分类号: (Theory of electronic structure, electronic transitions, and chemical binding)