1-D Harmonic Oscillator in Snyder Space, the Classic and the Quantum

Details 1-D Harmonic Oscillator in Snyder Space, the Classic and the Quantum 1-D Harmonic Oscillator in Snyder Space, the Classic and the Quantum

2008-08-30

arxiv.org/abs/0809.0066v2

Pramana 74:169-175,2010

Physics

Mathematical Physics

8 pages, 2 figures

Scientific paper

10.1007/s12043-010-0018-7

The 1-D dimension harmonic oscillator in Snyder space is investigated in its classical and quantum versions. The classical trajectory is obtained and the semiclassical quantization from the phase space trajectories is discussed. In the meanwhile, an effective cutoff to high frequencies is found. The quantum version is developed and an equivalent usual harmonic oscillator is obtained through an effective mass and an effective frequency introduced in the model. This modified parameters give us an also modified energy spectra.

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