The Maslov correction in the semiclassical Feynman integral

Details The Maslov correction in the semiclassical Feynman integral The Maslov correction in the semiclassical Feynman integral

2007-02-26

arxiv.org/abs/quant-ph/0702236v1

Cent.Eur.J.Phys.9:1-12,2011

Physics

Quantum Physics

17 pages, 2 figures

Scientific paper

10.2478/s11534-010-0055-3

The Maslov correction to the wave function is to the jump of $-\pi/2$ in the phase when the system passes through a caustic point. This phenomenon is related to the second variation and to the geometry of paths, as conveniently explained in Feynman's path integral framework. The results can be extended to any system using the semiclassical approximation. The 1-dimensional harmonic oscillator is used to illustrate the different derivations reviewed here.

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