The complex quantum harmonic oscillator: A model for the fractional quantum Hall effect

Details The complex quantum harmonic oscillator: A model for the fractional quantum Hall effect The complex quantum harmonic oscillator: A model for the fractional quantum Hall effect

2012-03-03

arxiv.org/abs/1203.0613v1

Physics

Quantum Physics

8 LateX pages

Scientific paper

The recently introduced model of a complex (two dimensional) quantum harmonic oscillator is found to account for the observed Fractional quantum Hall effect (FQHE). The sequences of the observed FQHE conductivity and charge are explained. The two sequences are found to express a quantity and its complex conjugated partner. The oscillator is found to have two degenerates states, $\psi_n$, with angular momenta $\pm n\,\hbar$., where $h = 2\pi \hbar $ is the Planck's constant.

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