Exact and approximate energy sums in potential wells

DOI10.1088/1751-8121/ab69a6OpenAlexW3000702376MaRDI QIDQ5060388

M. V. Berry, Kieron Burke

Publication date: 10 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/ab69a6

zbMATH Keywords

WKBsemiclassicalEuler-Maclaurin

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (2)

Seven useful questions in density functional theory ⋮ Asymptotics of eigenvalue sums when some turning points are complex

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Corrected Bohr-Sommerfeld quantum conditions for nonseparable systems
• Mathematical and computational methods in nuclear physics. Proceedings of the Sixth Granada Workshop Held in Granada, Spain, October 3-8, 1983
• Quantum signatures of chaos. With a foreword by H. Haken
• On the distribution of the total energy of a system of non-interacting fermions: Random matrix and semiclassical estimates
• Asymptotic expansion of the heat kernel trace of Laplacians with polynomial potentials
• Moyal quantum mechanics: The semiclassical Heisenberg dynamics
• Hyperasymptotic solutions of second-order linear differential equations. I
• Hyperasymptotics for integrals with saddles
• On the Asymptotic and Numerical Solution of Linear Ordinary Differential Equations
• The Wentzel-Brillouin-Kramers Method of Solving the Wave Equation
• On the Reversion of an Asymptotic Expansion and the Zeros of the Airy Functions
• Hyperasymptotics
• Dingle’s self-resurgence formula
• Level clustering in the regular spectrum
• Semiclassical quantization of truncated potentials
• Analytic variations on the Airy distribution

This page was built for publication: Exact and approximate energy sums in potential wells