Harmonic oscillator with minimal length uncertainty relations and ladder operators

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, revtex4, final version, to appear in PRD

Scientific paper

10.1103/PhysRevD.67.087701

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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