Asymptotic spectrum of three-particle system with exchange potential

V. S. Vasilevskii, G. F. Filippov


Abstract: Asymptotic solutions are constructed for the Schrödinger equation of a system of three identical fermions interacting through a two-particle oscillator exchange potential. The asymptotic solutions are limits for the exact wave functions for large values of the quantum number that determines the permutational symmetry of the spatial part of the wave function.

Received: 18.04.1975

 English version: Theoretical and Mathematical Physics, 1976, 26:3, 223–229