Bound state representation of scattering solutions

Abstract

Approximate positive energy continuum eigenstates of a one-body Hamiltonian, already projected onto a finite dimensional harmonic oscillator basis, are constructed from the set of discrete-energy states obtained by diagonalizing the Hamiltonian. The method should be especially useful for calculating the virtual, continuum, intermediate states in many-particle calculations. The results for the test cases considered, the square well and the nonlocal Hartree-Fock potentials, are quite accurate both in the wave functions and the phase shifts.