Two dimensional approximate wave function for the three body Coulomb problem

S. OTRANTO; W. R. CRAVERO; G. GASANEO; F. D. COLAVECCHIA; C. R. GARIBOTTI

PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS

AMER PHYSICAL SOC

Lugar: New York; Año: 2000 vol. 61 p. 547011 - 547014

1050-2947

In this work we present an approximate solution of the Schrödinger equation for the two-dimensional three-body Coulomb problem. We study the C3 model that treats the particle?s motion as if it were uncorrelated. We also show the bidimensional Φ2 approximation, based on a recently developed model, which includes some terms of the nonorthogonal Hamiltonian associated with the three-particle correlation. We point out the main similarities and differences with their three-dimensional analogs and verify the correct asymptotic behavior of the wave functions.