WKB approximation in deformed space with minimal length

Physics – Quantum Physics

Scientific paper

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

Scientific paper

10.1088/0305-4470/39/2/008

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.

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