On the noncommutative eikonal

We study the eikonal approximation to quantum mechanics on the Moyal plane. Instead of using a star product, the analysis is carried out in terms of operator-valued wavefunctions depending on noncommuting, operator-valued coordinates.

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Bibliographic Details
Published in:arXiv.org 2010-07
Main Authors: Isidro, J M, Fernandez de Cordoba, P, Rivera-Rebolledo, J M, Santander, J L G
Format: Article
Language:English
Subjects:
Quantum mechanics
Quantum theory
Wave functions
Online Access:Get full text
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Description
Summary:We study the eikonal approximation to quantum mechanics on the Moyal plane. Instead of using a star product, the analysis is carried out in terms of operator-valued wavefunctions depending on noncommuting, operator-valued coordinates.
ISSN:2331-8422
DOI:10.48550/arxiv.1007.4929