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Solving the Coulomb Schrödinger Equation ind= 2 + 1 via Sinc Collocation

✍ Scribed by Vasilios G. Koures

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
277 KB
Volume
128
Category
Article
ISSN
0021-9991

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✦ Synopsis

of the present paper is to demonstrate the power of the Sinc collocation method by solving the radial Coulomb

We solve the light cone Coulomb Shro ¨dinger equation in d ‫؍‬ 2 ؉ 1 via Sinc collocation. We get excellent convergence using a equation in d ϭ 2 ϩ 1.

generalized Sinc basis set in position space. Since convergence in

The motives for studying quantum electrodynamics position space could not be obtained with more common numerical (QED) in 2 ϩ 1 dimensions are numerous [8]. The lower techniques, this result helps us to corroborate the conjecture that dimensions allow a smaller number of degrees of freedom the use of a localized (square-integrable) basis set within the conbut the model still possesses independent photon degrees text of light cone quantization can yield much better convergence.

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