Some Basic Difference Equations of Schrödinger Boundary Value Problems

<p/> <p>We consider special basic difference equations which are related to discretizations of Schr&#246;dinger equations on time scales with special symmetry properties, namely, so-called basic discrete grids. These grids are of an adaptive grid type. Solving the boundary value prob...

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Bibliographic Details
Main Authors: Meiler Maria, Bruder Andrea, Ruffing Andreas
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2009/569803
Description
Summary:<p/> <p>We consider special basic difference equations which are related to discretizations of Schr&#246;dinger equations on time scales with special symmetry properties, namely, so-called basic discrete grids. These grids are of an adaptive grid type. Solving the boundary value problem of suitable Schr&#246;dinger equations on these grids leads to completely new and unexpected analytic properties of the underlying function spaces. Some of them are presented in this work.</p>
ISSN:1687-1839
1687-1847