The Maslov correction in the semiclassical Feynman integral

Abstract

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.

17 pages, 2 figures

Cited by in corpus (4)

• Resurgence of the large-charge expansion
• The Quantum Arnold Transformation and the Ermakov-Pinney equation
• On the Importance of Well-Defined Thermal Correlation Functions in Simulating Vibronic Spectra
• Franck-Condon spectra of unbound and imaginary-frequency vibrations via correlation functions: a branch-cut free, numerically stable derivation