Can I read WKB and "Cubic-WKB" methods as an adiabatic approximation on EtoBox?

WKB and "Cubic-WKB" methods as an adiabatic approximation by Iida, Shinji is a scholarly article available to read on EtoBox.

What is WKB and "Cubic-WKB" methods as an adiabatic approximation about?

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".

Author

Iida, Shinji

Published

2019

Language

EN