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Numerical exploration reveals quantum number shifts affecting WKB corrections in power-like potentials, suggesting analytical insights.
Numerical exploration suggests that for power-like potentials [Formula: see text] at [Formula: see text] the quantum WKB correction [Formula: see text], introduced in [J. C. del Valle and A. V. Turbiner, Int. J. Mod. Phys. A 36, 2150221 (2021)], has the form [Formula: see text], where [Formula: see text] is the shifted quantum number N. The leading coefficient in the [Formula: see text]-expansion is found to be a simple analytic expression, while several subleading terms are found numerically with high accuracy.
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Valle et al. (2025) studied this question.
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