The inclusion of the continuum in the study of weakly bound systems is discussed. A transformed harmonic-oscillator basis is introduced to provide an appropriate discrete and finite basis for treating the continuum part of the spectrum. As examples of application of the method the one-dimensional Poeschl-Teller and Morse potentials are worked out. The strength functions corresponding to different operators that couple the ground state to the continuum are investigated. It is found that the energy moments of those distributions are accurately reproduced with a small basis set.
Physical Review A
- Pub Date:
- May 2001
- Nuclear structure models and methods;
- Calculations and mathematical techniques in atomic and molecular physics;
- General theories and models of atomic and molecular collisions and interactions