Pseudoharmonic oscillator in quantum mechanics with a minimal length
arXiv:1312.0572 · doi:10.1142/S0217732314501430
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.
12 pages, Published version. arXiv admin note: text overlap with arXiv:1312.2619
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Cited by in corpus (4)
- Singular inverse square potential in coordinate space with a minimal length
- Kratzer's molecular potential in quantum mechanics with a generalized uncertainty principle
- Particle in a cavity in one-dimensional bandlimited quantum mechanics
- Deformed Heisenberg Algebra with a minimal length: Application to some molecular potentials