The initial value problem method for time-dependent harmonic oscillator

Authors

  • Surarit Pepore.

Keywords:

The initial value problem method, propagator, time-dependent harmonic oscillators

Abstract

The initial value problem method is formulated to calculate the propagator for time- dependent harmonic oscillators. The method is based on finding the initial position operator from Heisenberg equations. The investigated models in this paper are the damped harmonic oscillator, the harmonic oscillator with strongly pulsating mass, and the harmonic oscillator with mass growing with time. The comparison of the initial value problem method with Feynman path integral and Schwinger method is also described.

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Published

2017-01-01

How to Cite

[1]
Surarit Pepore., “The initial value problem method for time-dependent harmonic oscillator”, Rev. Mex. Fís., vol. 63, no. 5 Sept-Oct, pp. 461–0, Jan. 2017.

Issue

Vol. 63 No. 5 Sept-Oct (2017): Revista Mexicana de Física

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.