Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Communications in Theoretical Physics

Variable Frequency Harmonic Oscillator in an Electromagnetic Field

Bowen Huang, Wang Jing-Shan, Gu Zhi-Yu, Qian Shang-Wu

Published Jan 15, 2004• 3 citations
Publisher

Abstract

The invariant, propagator, and wavefunction for a variable frequency harmonic oscillator in an electromagnetic field are obtained by making a specific coordinate transformation and by using the method of phase space path integral method. The probability amplitudes for a dissipative harmonic oscillator in the time varying electric field are obtained.

DOI
10.1088/0253-6102/41/1/45

Related papers

Variable Frequency Harmonic Oscillator in an Electromagnetic Field

Bo Huang

The invariant,propagator,and wavefunction for a variable frequency harmonic oscillator in an electro- magnetic field are obtained by making a specific coordinate transformation and by using the method of phase space path integral method.The probability amplitudes for a dissipative harmonic oscillator in the time varying electric field E(t)=E_0 sin(Ωt) are obtained.

理论物理通讯:英文版•Jan 1, 2004•0 citations

Variable Frequency Harmonic Oscillator in an Electromagnetic Field

HUANGBo-Wen, WANGJing-Shan, GUZhi-Yu +1 more

The invariant, propagator, and wavefunction for a variable frequency harmonic oscillator in an electro-magnetic field are obtained by making a specific coordinate transformation and by using the method of phase spacepath integral method. The probability amplitudes for a dissipative harmonic oscillator in the time varying electric fieldE(t) = Eo sin(Ωt) are obtained.

理论物理通讯:英文版•Jan 1, 2004•0 citations

The invariant, propagator and wavefunction of a variable frequency harmonic oscillator in an electromagnetic field

Qian Shang-Wu

The invariant, propagator and wavefunction of a variable frequency harmonic oscillator in an electromagnetic field are obtained by means of a specific transformation and the phase space path integral method.

Acta Scicentiarum Naturalum Universitis Pekinesis•Jan 1, 1993•0 citations

Quantum Mechanical Path Integral in Phase Space and Class of Harmonic Oscillators with Varied Frequencies

Badri Berrabah

We present the problem of the time-dependent Harmonic oscillator with time-dependent mass and frequency in phase space and by using a canonical transformation and delta functional integration we could find the propagator related to the system. New examples of time-dependent frequencies are presented.

Journal of Modern Physics•Jan 1, 2016•2 citations

PATH INTEGRAL ANALYIS FOR TIME-DEPENDENT HARMONIC OSCILLATORS

Bancha Kirdmanee, Surarit Pepore, Bodinchat Sukbot

We demonstrate that the use of a space-time transformation in path integral can simplify the calculation of the propagator for a harmonic oscillator with time-dependent mass and frequency. We show that such a propagator can be easily obtained from the unit mass and frequency propagator in the new space-time coordinate systems. Two cases of harmonic oscillator with time-dependent mass, which exact propagator can be evaluated, are investigated.

Journal of Humanities and Social Sciences Thonburi University•Jan 1, 2014•0 citations

Path Integral for a Harmonic Oscillator with Time-Dependent Mass and Frequency

Surarit Pepore, P. Winotai, Tanakorn Osotchan +1 more

The exact solutions to the time-dependent Schrodinger equation for a harmonic oscillator with time-dependent mass and frequency were derived in a general form. The quantum mechanical propagator was calculated by the Feynman path integral method, while the wave function was derived from the spectral representation of the obtained propagator. It was shown that the propagator and the wave function depended on the s solution of a classical oscillator, in which the amplitude and phase satisfied the auxiliary equations. To demonstrate the derivation of the solution from our auxiliary equations, exponential and periodic functions of mass with constant frequency were imposed to evaluate the propagator and wave function for the Caldirola-Kanai and pulsating mass oscillators, respectively.

•Jan 1, 2006•6 citations
The invariant, propagator, and wavefunction for a variable frequency harmonic oscillator in an electromagnetic field are obtained by making a specific coordinate transformation and by using the method of phase space path integral method. The probability amplitudes for a dissipative harmonic oscillator in the time varying electric field are obtained.
The exact solutions to the time-dependent Schrodinger equation for a harmonic oscillator with time-dependent mass and frequency were derived in a general form. The quantum mechanical propagator was calculated by the Feynman path integral method, while the wave function was derived from the spectral representation of the obtained propagator. It was shown that the propagator and the wave function depended on the s solution of a classical oscillator, in which the amplitude and phase satisfied the auxiliary equations. To demonstrate the derivation of the solution from our auxiliary equations, exponential and periodic functions of mass with constant frequency were imposed to evaluate the propagator and wave function for the Caldirola-Kanai and pulsating mass oscillators, respectively.