Solving the Coulomb Schrodinger Equation in d=2+1 via Sinc Collocation

Details Solving the Coulomb Schrodinger Equation in d=2+1 via Sinc Collocation Solving the Coulomb Schrodinger Equation in d=2+1 via Sinc Collocation

1995-10-05

arxiv.org/abs/quant-ph/9510006v1

Physics

Quantum Physics

17 pages, Latex, 6 uuencoded postscript figures (figs.uu)

Scientific paper

We solve the non-relativistic Coulomb Shrodinger equation in d = 2+1 via sinc collocation. We get excellent convergence using a generalized sinc basis set in position space. Since convergence in position space could not be obtained with more common numerical techniques, this result helps to corroborate the conjecture that the use of a localized basis set within the context of light cone quantization can yield much better convergence. All of the computations presented here were performed on an IBM-compatible PC with an Intel 486DX2-66 microchip.

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