V. V. Sokolovskii, Yu. M. Popov, A. A. Gusev, S. I. Vinitsky, “Zero-range potentials as an algorithm for solution of quantum scattering problems”, Num. Meth. Prog., 2004, Volume 5, Issue 1,Pages <nobr>83

Zero-range potentials as an algorithm for solution of quantum scattering problems

V. V. Sokolovskii^a, Yu. M. Popov^a, A. A. Gusev^b, S. I. Vinitsky^b

^a Lomonosov Moscow State University, Skobeltsyn Institute of Nuclear Physics
^b Joint Institute for Nuclear Research, Dubna, Moscow region

Abstract: It is shown that zero-range potentials can successfully be used to construct a numerical algorithm for the solution of 1D scattering problems. This statement is illustrated with a number of test examples. The class of separable potentials close to the zero-range potentials is proposed, which allows one to solve 3D scattering problems and, at the same time, to keep the wave function confined.

Keywords: algorithm, separable potentials, scattering problem, zero-range potential, wave functions.

UDC: 519.622; 535.4