Semiclassical quantization of truncated potentials

DOI10.1088/1361-6404/ab4026OpenAlexW2970163378MaRDI QIDQ5885933

M. V. Berry, Kieron Burke

Publication date: 30 March 2023

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6404/ab4026

zbMATH Keywords

singularitiesasymptoticsdivergent seriessmall exponentials

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Related Items (1)

Exact and approximate energy sums in potential wells

Uses Software

• DLMF

Cites Work

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• Stokes' phenomenon; smoothing a Victorian discontinuity
• Hyperasymptotics for integrals with saddles
• XLIII. A letter from the late Reverend Mr. Thomas Bayes, F. R. S. to John Canton, M. A. and F. R. S
• Hyperasymptotics
• Uniform asymptotic smoothing of Stokes’s discontinuities
• Proving the existence of bound states for attractive potentials in one-dimension and two-dimensions without calculus

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