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Feynman Path Integral and Schwinger Method for Time-Dependent Mass Harmonic Oscillators

16 Pages Posted: 13 Dec 2022

See all articles by Surarit Pepore

Surarit Pepore

Rajamangala University of Technology Thanyaburi

Date Written: November 23, 2022

Abstract

The propagators for a harmonic oscillator with strongly vibrating mass and a harmonic oscillator with mass rapidly growing with time are calculated by Feynman path integral and Schwinger method. The wave function of both oscillators are derived from the spectral representation of the obtained propagator. The comparison of Feynman path integral and Schwinger method is also described.

Keywords: Feynman path integral, Schwinger method, propagator, wave function

Suggested Citation

Pepore, Surarit, Feynman Path Integral and Schwinger Method for Time-Dependent Mass Harmonic Oscillators (November 23, 2022). Available at SSRN: https://ssrn.com/abstract=4284619 or http://dx.doi.org/10.2139/ssrn.4284619

Surarit Pepore (Contact Author)

Rajamangala University of Technology Thanyaburi ( email )

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