Lattice Discretization in Quantum Scattering

Details Lattice Discretization in Quantum Scattering Lattice Discretization in Quantum Scattering

1997-07-28

arxiv.org/abs/hep-th/9707231v1

J.Phys.A29:7157,1996

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1088/0305-4470/29/22/015

The utility of lattice discretization technique is demonstrated for solving nonrelativistic quantum scattering problems and specially for the treatment of ultraviolet divergences in these problems with some potentials singular at the origin in two and three space dimensions. This shows that lattice discretization technique could be a useful tool for the numerical solution of scattering problems in general. The approach is illustrated in the case of the Dirac delta function potential.

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