Harmonic oscillator with minimal length uncertainty relations and ladder operators
Oct, 2002
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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.- 02.40.Gh
- 03.65.-w
- oscillator: deformation
- uncertainty relations
- any-dimensional
- Fock space
- symmetry: O(N)
- oscillator: noncommutative
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