Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

American Journal of Physics

WKB wave functions

Jean‐Francis Bloch

Published Jun 13, 2002• 0 citations
Publisher
DOI
10.1119/1.1484148

Related papers

Simple rule for normalizing WKB-type wave functions

Harvey C. Woodsum

American Journal of Physics•Jul 1, 1978•0 citations

The WKB Wave Functions for the Harmonic Oscillator

H. P. Grunwald, F. Milano

American Journal of Physics•Nov 1, 1971•5 citations

WKB and exact wave functions for inverse power-law potentials

Johannes Trost, Hanno Friedrich

Physics Letters A•Apr 1, 1997•33 citations

WKB Wave Function of the General Time-Dependent Quadratic Hamiltonian System

Jeong Ryeol Choi

International Journal of Theoretical Physics•Apr 1, 2004•2 citations

Symplectically Invariant WKB Wave Functions

Robert G. Littlejohn

Traditional WKB theory yields wave functions which have divergences and are not invariant under any reasonable class of transformations. This Letter presents alternative WKB wave functions which have no divergences and are symplectic invariants.

Physical Review Letters•Apr 22, 1985•22 citations

WKB and “cubic-WKB” methods as an adiabatic approximation

Shinji Iida

This paper shows that WKB wave function can be expressed in the form of an adiabatic expansion. To build a bridge between two widely invoked approximation schemes seems pedagogically instructive. Further, “cubic-WKB” method that has been devised in order to overcome the divergence problem of WKB can be also presented in the form of an adiabatic approximation: The adiabatic expansion of a wave function contains a certain parameter. When this parameter is adjusted so as to make the next order correction vanish approximately, the adiabatic wave function becomes equivalent to that of the “cubic-WKB”.

arXiv:1903.05201•Modern Physics Letters A•Jun 18, 2019•0 citations
This paper shows that WKB wave function can be expressed in the form of an adiabatic expansion. To build a bridge between two widely invoked approximation schemes seems pedagogically instructive. Further, “cubic-WKB” method that has been devised in order to overcome the divergence problem of WKB can be also presented in the form of an adiabatic approximation: The adiabatic expansion of a wave function contains a certain parameter. When this parameter is adjusted so as to make the next order correction vanish approximately, the adiabatic wave function becomes equivalent to that of the “cubic-WKB”.