One-range addition theorems for generalized integer and noninteger μ Coulomb, and exponential type correlated interaction potentials with hyperbolic cosine in position, momentum, and four-dimensional spaces |
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作者姓名: | I.I.Guseinov |
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作者单位: | Department of Physics, Faculty of Arts and Sciences, Onsekiz Mart University, Canakkale, Turkey |
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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),α-momentum space orbitals(α-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.
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关 键 词: | correlated interaction potentials one-range additional theorems complete orthonormal sets of orbitals overlap integrals |
收稿时间: | 2011-09-21 |
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