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The wave functions of continuum for the two-center problem in quantum mechanics

1976; Elsevier BV; Volume: 20; Issue: 2 Linguagem: Inglês

10.1016/0021-9991(76)90063-2

1090-2716

Л. И. Пономарев, L.N. Somov,

Nuclear physics research studies

An algorithm is given for the calculation of the wave functions (to within ∼10−7) and the separation constants A λmq(k, R) (to within ∼10−11) of the continuum of the two-center problem with Coulomb interaction. The phases Δmq(k, R) of the solutions to the radial equation are found as functions of the momentum k and the intercenter spacing R. The constructed angular Ξmq(η; k, R) and radial Πmq(ξ; k, R) Coulomb spheroidal functions are a natural generalization of the Coulomb functions Fl(γ, kr) of the one-center problem.