The paper derives GUP-modified angular momentum and hydrogen energy shifts, but the central commutator step is mathematically unjustified.
Harmonic oscillator with minimal length uncertainty relations and ladder operators
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abstract
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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gr-qc 1years
2024 1verdicts
REJECT 1representative citing papers
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Deformed algebraic structure of angular momenta: GUP perspective
The paper derives GUP-modified angular momentum and hydrogen energy shifts, but the central commutator step is mathematically unjustified.