A new approach for the Jeffreys–Wentzel–Kramers–Brillouin theory

DOI10.1063/1.530680zbMath0824.39002OpenAlexW2086731398MaRDI QIDQ4837133

R. L. Monaco, Edmundo Capelas de Oliveira

Publication date: 4 July 1995

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

Full work available at URL: https://doi.org/10.1063/1.530680

zbMATH Keywords

recurrence relationasymptotic formhigher order correctionsanalytical asymptotic solutionsJeffreys-Wentzel-Kramers-Brillouin methodtime-independent Schrödinger differential equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Convergence and divergence of continued fractions (40A15)

Related Items (1)

Solutions for the Klein-Gordon and Dirac equations on the lattice based on Chebyshev polynomials

Cites Work

• Improved error bounds for the Liouville Green (or WKB) approximation
• A direct method for modifying certain phase-integral approximations of arbitrary order
• Five-term WKBJ approximation
• WKB equivalent potentials for q-deformed harmonic and anharmonic oscillators
• On the WKBJ approximation

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