WKB approximation in deformed space with minimal length and minimal momentum

Abstract

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.

arXiv comment9 pages, the derivation of the main result is extended, typos are corrected

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Cited by in corpus (7)

• Statistical physics in deformed spaces with minimal length
• The Constraints and Spectra of a Deformed Quantum Mechanics
• Effects of the Generalized Uncertainty Principle on Quantum Tunneling
• Exactly solvable dynamical models with a minimal length uncertainty
• Position and momentum uncertainties of a particle in a V-shaped potential under the minimal length uncertainty relation
• Fugacity versus chemical potential in nonadditive generalizations of the ideal Fermi-gas
• Behavior of a Free Quantum Particle in the Poincaré Upper Half-Plane Geometry