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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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2007
Hauptverfasser: Quesne, C., Tkachuk, V.M.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2007
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/147794
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics / C. Quesne, V.M. Tkachuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 48 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine