Continuum discretization in a basis of transformed harmonic-oscillator states

Abstract

The method of defining a transformed harmonic-oscillator (THO) basis, designed to take an account of continuum, by an appropriate discretization is discussed. This method is applied to two analytical one-dimensional potentials of interest in molecular physics. The THO is obtained by large scale transformation (LST) that converts ground state of system into the harmonic-oscillator (HO) ground state. The formalism for one dimensional potentials is presented.