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Three-body Coulomb problem: a solution


por el

Dr. Alexander Turbiner

Instituto de Ciencias Nucleares, UNAM

Resumen:
The problem of two fixed charged centers and electron (p p e) is considered. It is integrable and admits a variable separation in prolate spheroidal coordinates. Combining the WKB expansion at large distances and perturbation theory at small distances a compact uniform approximation for eigenfunctions is constructed. For the lowest eigenstates 1sg and 2pu, this approximation provides the relative accuracy <= 10-5 (5 s.d.) for any real x in eigenfunctions and for total energy E(R) it gives 10 - 11 significant digits (s.g.) for internuclear distances R in [0, 50]. Corrections to proposed approximations are evaluated. Separation constants and the oscillator strength for the transition 1sg -> 2pu are calculated and compared with existing numerical data.

Miércoles 21 de marzo, 2012
18:00 hrs.
Salón 203, Edificio Anexo, IIMAS

Informes: coloquiomym@gmail.com, o al 5622-3564.