WKB approximation in deformed space with minimal length and minimal momentum

Details WKB approximation in deformed space with minimal length and minimal momentum WKB approximation in deformed space with minimal length and minimal momentum

2007-09-10

arxiv.org/abs/0709.1321v2

J. Phys. A: Math. Theor. 41 (2008) 045305

Physics

Quantum Physics

9 pages, the derivation of the main result is extended, typos are corrected

Scientific paper

10.1088/1751-8113/41/4/045305

A Bohr-Sommerfeld quantization rule is generalized for the case of the
deformed commutation relation leading to minimal uncertainties in both
coordinate and momentum operators. The correctness of the rule is verified by
comparing obtained results with exact expressions for corresponding spectra.

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