Constant of Motion for One-Diemnsional Non Autonomous Linear Systems and Harmonic Oscillator
Mathematical Physics
2016-09-07 v1 Dynamical Systems
math.MP
Abstract
For a one-dimensional motion, a constant of motion for non autonomous an linear system (position and velocity) is given from the constant of motion associated to its autonomous system. This approach is used in the study of the harmonic oscillator with an additional time depending force.
Cite
@article{arxiv.math-ph/9910008,
title = {Constant of Motion for One-Diemnsional Non Autonomous Linear Systems and Harmonic Oscillator},
author = {Gustavo Lopez},
journal= {arXiv preprint arXiv:math-ph/9910008},
year = {2016}
}
Comments
7 pages, TeX file