On the Boundary Conditions in Deformed Quantum Mechanics with Minimal Length Uncertainty

We find the coordinate space wave functions, maximal localization states, and quasiposition wave functions in a GUP framework that implies a minimal length uncertainty using a formally self-adjoint representation. We show how the boundary conditions in quasiposition space can be exactly determined f...

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Main Author: Pouria Pedram
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2013/853696
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author Pouria Pedram
author_facet Pouria Pedram
author_sort Pouria Pedram
collection DOAJ
description We find the coordinate space wave functions, maximal localization states, and quasiposition wave functions in a GUP framework that implies a minimal length uncertainty using a formally self-adjoint representation. We show how the boundary conditions in quasiposition space can be exactly determined from the boundary conditions in coordinate space.
format Article
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institution Kabale University
issn 1687-7357
1687-7365
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Advances in High Energy Physics
spelling doaj-art-80bc56d0d4b44055b766ac6236b013882025-02-03T05:58:11ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/853696853696On the Boundary Conditions in Deformed Quantum Mechanics with Minimal Length UncertaintyPouria Pedram0Department of Physics, Science and Research Branch, Islamic Azad University, Tehran 1477893855, IranWe find the coordinate space wave functions, maximal localization states, and quasiposition wave functions in a GUP framework that implies a minimal length uncertainty using a formally self-adjoint representation. We show how the boundary conditions in quasiposition space can be exactly determined from the boundary conditions in coordinate space.http://dx.doi.org/10.1155/2013/853696
spellingShingle Pouria Pedram
On the Boundary Conditions in Deformed Quantum Mechanics with Minimal Length Uncertainty
Advances in High Energy Physics
title On the Boundary Conditions in Deformed Quantum Mechanics with Minimal Length Uncertainty
title_full On the Boundary Conditions in Deformed Quantum Mechanics with Minimal Length Uncertainty
title_fullStr On the Boundary Conditions in Deformed Quantum Mechanics with Minimal Length Uncertainty
title_full_unstemmed On the Boundary Conditions in Deformed Quantum Mechanics with Minimal Length Uncertainty
title_short On the Boundary Conditions in Deformed Quantum Mechanics with Minimal Length Uncertainty
title_sort on the boundary conditions in deformed quantum mechanics with minimal length uncertainty
url http://dx.doi.org/10.1155/2013/853696
work_keys_str_mv AT pouriapedram ontheboundaryconditionsindeformedquantummechanicswithminimallengthuncertainty