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arxiv: 0709.1321 · v2 · submitted 2007-09-10 · 🪐 quant-ph

WKB approximation in deformed space with minimal length and minimal momentum

classification 🪐 quant-ph
keywords minimaldeformedmomentumruleapproximationbohr-sommerfeldcasecommutation
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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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