Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics

Two generalizations of Kempf's quadratic canonical commutation relation in one dimension are considered. The first one is the most general quadratic commutation relation. The corresponding nonzero minimal uncertainties in position and momentum are determined and the effect on the energy spectru...

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Bibliographic Details
Main Authors: Christiane Quesne, Volodymyr M. Tkachuk
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2007/016/