Exact and avoided crossings of adiabatic hyperspherical potential curves

Exact crossing of potential curves related to the adiabatic hyperspherical (AH) approach to a three‐body Coulomb system is studied. Analytic structure of the AH potential curves, harmonics, and coupling matrix elements near crossing points in the complex plane of hyperradius is investigated. Results...

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Veröffentlicht in:Journal of mathematical physics 1994-01, Vol.35 (1), p.47-70
Hauptverfasser: Kostrykin, Vadim V., Kvitsinsky, Andrei A.
Format: Artikel
Sprache:eng
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Zusammenfassung:Exact crossing of potential curves related to the adiabatic hyperspherical (AH) approach to a three‐body Coulomb system is studied. Analytic structure of the AH potential curves, harmonics, and coupling matrix elements near crossing points in the complex plane of hyperradius is investigated. Results are applied to derive some basic features of avoided crossings of the AH potential curves at real hyperradii.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.530738