The Maslov correction in the semiclassical Feynman integral

• Authors: Peter. Horváthy
• Languages of publication: EN

Abstracts

EN

The Maslov correction to the wave function is the jump of $$
\left( { - \frac{\pi }
{2}} \right)
$$ in the phase when the system passes through a caustic. This can be explained by studying the second variation and the geometry of paths, as conveniently seen 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.

Keywords

EN

Feynman path integrals; semiclassical propagator; Maslov correction

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 1
• Pages: 1-12

Dates

published

1 - 2 - 2011

online

24 - 9 - 2010

Contributors

author

Peter. Horváthy

• Laboratoire de Mathématiques et de Physique Théorique, Université de Tours, Parc de Grandmont, F-37 200, Tours, France

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Identifiers

DOI

10.2478/s11534-010-0055-3