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Sinc collocation in quantum chemistry: Solving the planar coulomb Schrödinger equation

✍ Scribed by Vasilios G. Koures; Frank E. Harris

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 515 KB
Volume: 60
Category: Article
ISSN: 0020-7608
DOI: 10.1002/(sici)1097-461x(1996)60:7<1311::aid-qua12>3.0.co;2-7

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✦ Synopsis

Dirac bra-ket notation is introduced for the Whittaker cardinal (Sinc) functions and a previously unreported completeness relation for these quantities is presented and derived. With the use of this completeness relation it becomes simple to transform to a Sinc-basis the eigenvalue equations arising from a light-cone quantization of field theory or the similar equations occurring in nonrelativistic quantum mechanics. The simplicity and power of Sinc-function expansions is illustrated by computation of the eigenvalues and eigenfunctions of the position-space planar Coulomb equation, a problem for which convergence has not been achieved by a variety of other computational methods.

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