Physics – Quantum Physics
Scientific paper
2005-10-03
J. Phys. A: Math. Gen. 39 (2006) 379-387
Physics
Quantum Physics
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.
Fityo Taras V.
Tkachuk Volodymyr M.
Vakarchuk I. O.
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