EXACT AND AVOIDED CROSSINGS OF ADIABATIC HYPERSPHERICAL POTENTIAL CURVES

Authors
KOSTRYKIN VV KVITSINSKY AA
Citation
Vv. Kostrykin et Aa. Kvitsinsky, EXACT AND AVOIDED CROSSINGS OF ADIABATIC HYPERSPHERICAL POTENTIAL CURVES, Journal of mathematical physics, 35(1), 1994, pp. 47-70
Citations number
27
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
1
Year of publication
1994
Pages
47 - 70
Database
ISI
SICI code
0022-2488(1994)35:1<47:EAACOA>2.0.ZU;2-4
Abstract
Exact crossing of potential curves related to the adiabatic hyperspher ical (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 i nvestigated. Results are applied to derive some basic features of avoi ded crossings of the AH potential curves at real hyperradii.