Direct solution of the H(1s)–H+ long-range interaction problem in momentum space | Zendy

Toshikatsu Koga | Zendy

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Direct solution of the H(1s)–H+ long-range interaction problem in momentum space

Author(s) -

Toshikatsu Koga

Publication year - 1985

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.448386

Subject(s) - position and momentum space , hypersphere , momentum (technical analysis) , physics , space (punctuation) , spherical harmonics , mathematics , classical mechanics , quantum electrodynamics , mathematical physics , quantum mechanics , geometry , linguistics , philosophy , finance , economics

Perturbation equations for the H(1s)–H^(+) long‐range interaction are solved directly in momentum space up to the fourth order with respect to the reciprocal of the internuclear distance. As in the hydrogen atom problem, the Fock transformation is used which projects the momentum vector of an electron from the three‐dimensional hyperplane onto the four‐dimensional hypersphere. Solutions are given as linear combinations of several four‐dimensional spherical harmonics. The present results add an example to the momentum‐space solution of the nonspherical potential problem

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