ACCURATE RESONANCES AND EFFECTIVE ABSORPTION OF FLUX USING SMOOTH EXTERIOR SCALING

A general coordinate transformation is used to derive smooth exterior scaling (SES). Different complex paths are discussed and it is also sh own how to derive a complex absorbing potential (CAP) from the SES. Ac curate resonance values are computed both for short range and long ran ge potentials. It is shown that the SES absorbs outgoing flux very eff ectively. The approximation of not scaling the potential and its relat ion to CAPs is discussed. It is emphasized that the SES can be impleme nted as easy as CAPs for grid methods. (C) 1998 American Institute of Physics. [S0021-9606(98)01845-5].