WKB approximation in deformed space with minimal length

Abstract

The WKB approximation for deformed space with minimal length is considered. The Bohr-Sommerfeld quantization rule is obtained. A new interesting feature in presence of deformation is that the WKB approximation is valid for intermediate quantum numbers and can be invalid for small as well as very large quantum numbers. The correctness of the rule is verified by comparing obtained results with exact expressions for corresponding spectra.

13 pages Now it is avaible at http://stacks.iop.org/0305-4470/39/379

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Cited by in corpus (5)

• Statistical physics in deformed spaces with minimal length
• A note on the one-dimensional hydrogen atom with minimal length uncertainty
• WKB approximation in deformed space with minimal length and minimal momentum
• Position and momentum uncertainties of a particle in a V-shaped potential under the minimal length uncertainty relation
• Uncertainty relations for a non-canonical phase-space noncommutative algebra