WKB approximation in deformed space with minimal length and minimal momentum
T.V. Fityo, I.O. Vakarchuk, V.M. Tkachuk
TL;DR
This paper extends the Bohr-Sommerfeld quantization rule to deformed quantum spaces with minimal length and momentum, verifying its accuracy against exact spectral results.
Contribution
It generalizes the quantization rule for deformed spaces with minimal uncertainties, providing a validated approximation method.
Findings
The generalized rule matches exact spectral results.
The approach is applicable to quantum systems with minimal length and momentum.
Validation confirms the rule's accuracy in deformed quantum mechanics.
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.
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