Nivaldo Agostinho Lemos
Abstract
We present a canonical treatment of the damped harmonic oscillator. The Hamiltonian is made simpler by means of a suitable canonical transformation. The ensuing equations of motion for the transformed canonical variables are then solved by the Hamilton-Jacobi method.
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We present a canonical treatment of the damped harmonic oscillator. The Hamiltonian is made simpler by means of a suitable canonical transformation. The ensuing equations of motion for the transformed canonical variables are then solved by the Hamilton-Jacobi method.
Key concepts: Harmonic oscillator, Canonical transformation, Physics, Hamiltonian (control theory), Canonical coordinates, Equations of motion, Classical mechanics, Canonical form