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

Journal of Physics A Mathematical and General

A simple derivation of the exact wavefunction of a harmonic oscillator with time-dependent mass and frequency

Orion Ciftja

Published Aug 26, 1999• 21 citations
Publisher

Abstract

We present a very simple and efficient method to obtain the exact wavefunction corresponding to the harmonic oscillator with time-dependent mass and frequency.
DOI
10.1088/0305-4470/32/36/303

Related papers

Simple calculation of the wavefunctions of a time-dependent harmonic oscillator

Moshe Gitterman

The exact form of the wavefunctions of a harmonic oscillator with time-dependent mass and frequency is obtained by the use of simple transformations.

European Journal of Physics•Nov 1, 1998•5 citations

Exact wave function of the coupled harmonic oscillator with time-dependent mass and frequency

Ling Rui-liang, Feng Jin-fu, 常熟理工学院物理系,常熟 215500

Using the coordinate and momentum transformation theory and the trial function methed, the exact wave function of the coupled harmonic oscillator with time-dependent mass and frequency is derived.

Acta Physica Sinica•Jan 1, 2009•3 citations

Exact wave functions of a harmonic oscillator with time-dependent mass and frequency

I. A. Pedrosa

We use the Lewis and Riesenfeld invariant method [J. Math. Phys. 10, 1458 (1969)] to obtain the exact Schr\"odinger wave functions for a harmonic oscillator with time-dependent mass and frequency. Exact coherent states for such system are also constructed.

Physical Review A•Apr 1, 1997•189 citations

Exact classical and quantum solutions for a harmonic oscillator with variable mass and frequency

Yurong Li

Using a new simple method, exact solutions of the classical equation of motion and the quantum Schrdinger equation for a harmonic oscillator with variable mass and frequency are obtained.

College Physics•Jan 1, 2003•0 citations

A Novel Method to Solve the Exact Wave Function of Time-dependent Damped Harmonic Oscillator with Variable Mass

Rui Ling

Using the canonical transformation and the trial function method,the exact wave function of a time-dependent damped harmonic oscillator with variable mass is derived.

Journal of Changshu Institute of Technology•Jan 1, 2011•0 citations

Comment on “Harmonic oscillator with time-dependent mass and frequency and a perturbative potential”

Mustapha Maamache, K. Bencheikh, Hichem Hachemi

The correct wave function for the problem of a harmonic oscillator of time-dependent mass and frequency is obtained following the same approach used in the paper of Dantas et al. [Phys. Rev. A 45, 1320 (1992)].

Physical Review A•Apr 1, 1999•8 citations