10. Emil Y. Sidky, The Phase‐Amplitude Method of Solving the Wave Equation

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Volume 13: Pages 408-411, 2000

The Phase‐Amplitude Method of Solving the Wave Equation

Emil Y. Sidky

Department of Physics, Kansas State University, Manhattan, Kansas 66506 U.S.A

The link between the Milne phase‐amplitude formulation and the semiclassical treatment of the wave equation is explored. An improved strategy for integrating the Milne equations is derived and illustrated with the double‐well, harmonic‐oscillator, and Coulomb potentials.

Keywords: wave equation, phase amplitude, semiclassical methods

Received: July 13, 2000; Published online: December 15, 2008