paper

Harmonic oscillator with minimal length uncertainty relations and ladder operators

arXiv:hep-th/0210264 · doi:10.1103/PhysRevD.67.087701

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.

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

Harmonic oscillator with minimal length uncertainty relations and ladder operators · wovepaper