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Constant of Motion for One-Diemnsional Non Autonomous Linear Systems and Harmonic Oscillator

Gustavo Lopez

math-pharXiv:math-ph/9910008

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.

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