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arXiv · 1312.0572

Pseudoharmonic oscillator in quantum mechanics with a minimal length

Djamil Bouaziz·Abdelmalek Boukhellout
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Abstract

The pseudoharmonic oscillator potential is studied in non relativistic quantum mechanics with a generalized uncertainty principle characterized by the existence of a minimal length scale. By using a perturbative approach, we analytically compute the correction to the energy spectrum in the first order of the minimal length parameter \b{eta}. We investigate the effect of this fundamental length on the vibration-rotation energy levels of diatomic molecules with this potential function interaction. We explicitly show that the minimal length would have some importance in studying the spectra of diatomic molecules.

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Djamil Bouaziz, Abdelmalek Boukhellout. 2014-09-16. Pseudoharmonic oscillator in quantum mechanics with a minimal length. https://doi.org/10.1142/s0217732314501430

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