A q-Deformation of the Harmonic Oscillator

Details A q-Deformation of the Harmonic Oscillator A q-Deformation of the Harmonic Oscillator

1996-05-22

arxiv.org/abs/hep-th/9605161v1

Z.Phys. C74 (1997) 369-378

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, latex, no figures

Scientific paper

The q-deformed harmonic oscillator is studied in the light of q-deformed phase space variables. This allows a formulation of the corresponding Hamiltonian in terms of the ordinary canonical variables $x$ and $p$. The spectrum shows unexpected features such as degeneracy and an additional part that cannot be reached from the ground state by creation operators. The eigenfunctions show lattice structure, as expected.

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