Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1857673 | Annals of Physics | 2008 | 12 Pages |
Abstract
In this work, we use linear invariants and the dynamical invariant method to obtain exact solutions of the Schrödinger equation for the generalized time-dependent forced harmonic oscillator in terms of solutions of a second order ordinary differential equation that describes the amplitude of the classical unforced damped oscillator. In addition, we construct Gaussian wave packet solutions and calculate the fluctuations in coordinate and momentum as well as the quantum correlations between coordinate and momentum. It is shown that the width of the Gaussian packet, fluctuations and correlations do not depend on the external force. As a particular case, we consider the forced Caldirola–Kanai oscillator.
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Alberes Lopes de Lima, Alexandre Rosas, I.A. Pedrosa,