A finite difference Schroedinger equation
(1972) Societe Scientifique de Bruxelles. Annales. Sciences Mathematiques, Astronomiques et Physiques — Vol. 86, n° 1, p. 89-100 (1972)
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- Abstract
- To avoid any arbitrariness, one should consider the ultimate limit for the smallest measurable distance as an unknown quantity, whose value could be finite as well as zero. This implies that the usual differential equations of quantum mechanics should be considered as limiting cases of some adequate finite difference equations. The `correspondence principle' which allows us to set up these finite difference equations, is justified by checking the internal consistency of the theory, in the case where the light velocity /b c/= infinity.
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Meessen, A. (1972). A finite difference Schroedinger equation. Societe Scientifique de Bruxelles. Annales. Sciences Mathematiques, Astronomiques et Physiques, 86(1), 89-100. https://hdl.handle.net/2078.5/47223 (Original work published 1972)