Some Basic Difference Equations of Schrödinger Boundary Value Problems

We consider special basic difference equations which are related to discretizations of Schrödinger 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...

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Bibliographic Details
Main Authors: Andreas Ruffing, Maria Meiler, Andrea Bruder
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2009/569803
Description
Summary:We consider special basic difference equations which are related to discretizations of Schrödinger 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 Schrödinger 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.
ISSN:1687-1839
1687-1847