Drinfel'd twist and Noncommutative oscillators

Using the Drinfel'd twist of Hopf algebras, noncommutative coordinates are derived for quantum mechanics. Two cases are presented, the constant noncommutativity and a Snyder-like one. This approach brings naturally new features, such as non-additivity in the energy and pseudo-hermiticity.

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Bibliographic Details
Published in:Journal of physics. Conference series 2012-01, Vol.343 (1), p.12061-6
Main Authors: Castro, P G, Kullock, R, Toppan, F
Format: Article
Language:English
Subjects:
Algebra
Constants
Oscillators
Physics
Quantum mechanics
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Description
Summary:Using the Drinfel'd twist of Hopf algebras, noncommutative coordinates are derived for quantum mechanics. Two cases are presented, the constant noncommutativity and a Snyder-like one. This approach brings naturally new features, such as non-additivity in the energy and pseudo-hermiticity.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/343/1/012061