Harmonic oscillator with minimal length uncertainty relations and ladder operators

Ivan Dadic; Larisa Jonke; Stjepan Meljanac

Harmonic oscillator with minimal length uncertainty relations and ladder operators

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arxiv hep-th/0210264 v2 pith:LQLEOEEO submitted 2002-10-28 hep-th

Ivan Dadic , Larisa Jonke , Stjepan Meljanac This is my paper · ORCID

classification hep-th

keywords harmonicrelationsdiscusslengthminimaloperatorsoscillatoruncertainty

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We construct creation and annihilation operators for harmonic oscillators with minimal length uncertainty relations. We discuss a possible generalization to a large class of deformations of cannonical commutation relations. We also discuss dynamical symmetry of noncommutative harmonic oscillator.

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Deformed algebraic structure of angular momenta: GUP perspective
gr-qc 2024-11 reject novelty 3.0 of 10

The paper derives GUP-modified angular momentum and hydrogen energy shifts, but the central commutator step is mathematically unjustified.

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