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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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
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spelling doaj-3b693dbf6e044db0a3487a8f429b537b2020-11-24T21:39:30ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-0120091569803Some Basic Difference Equations of Schr&#246;dinger Boundary Value ProblemsMeiler MariaBruder AndreaRuffing Andreas<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> http://www.advancesindifferenceequations.com/content/2009/569803
collection DOAJ
language English
format Article
sources DOAJ
author Meiler Maria
Bruder Andrea
Ruffing Andreas
spellingShingle Meiler Maria
Bruder Andrea
Ruffing Andreas
Some Basic Difference Equations of Schr&#246;dinger Boundary Value Problems
Advances in Difference Equations
author_facet Meiler Maria
Bruder Andrea
Ruffing Andreas
author_sort Meiler Maria
title Some Basic Difference Equations of Schr&#246;dinger Boundary Value Problems
title_short Some Basic Difference Equations of Schr&#246;dinger Boundary Value Problems
title_full Some Basic Difference Equations of Schr&#246;dinger Boundary Value Problems
title_fullStr Some Basic Difference Equations of Schr&#246;dinger Boundary Value Problems
title_full_unstemmed Some Basic Difference Equations of Schr&#246;dinger Boundary Value Problems
title_sort some basic difference equations of schr&#246;dinger boundary value problems
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2009-01-01
description <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>
url http://www.advancesindifferenceequations.com/content/2009/569803
work_keys_str_mv AT meilermaria somebasicdifferenceequationsofschr246dingerboundaryvalueproblems
AT bruderandrea somebasicdifferenceequationsofschr246dingerboundaryvalueproblems
AT ruffingandreas somebasicdifferenceequationsofschr246dingerboundaryvalueproblems
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