Addendum — Power-like potentials: From the Bohr–Sommerfeld energies to exact ones

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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Publication Details

Journal
International Journal of Modern Physics A
Published
2025-11-12
DOI
https://doi.org/10.1142/s0217751x25920010
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
article
Field-Weighted Citation Impact
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article

Addendum — Power-like potentials: From the Bohr–Sommerfeld energies to exact ones

Alexander V. Turbiner, J. C. del Valle
International Journal of Modern Physics A
Quantum Mechanics and Non-Hermitian Physics
article

Addendum — Power-like potentials: From the Bohr–Sommerfeld energies to exact ones

Alexander V. Turbiner, J. C. del Valle
article en

Abstract

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.

International Journal of Modern Physics AVol. 40(35)
Universidad Nacional Autónoma de México (MX)
Openalex Percentile: Top 73%
Quantum Mechanics and Non-Hermitian Physics
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