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Expressions for frictional and conservative force combinations within the dissipative Lagrange-Hamilton formalism

Charles E. Smith
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Abstract

Dissipative Lagrangians and Hamiltonians having Coulomb, viscous and quadratic damping,together with gravitational and elastic terms are presented for a formalism that preserves the Hamiltonian as a constant of the motion. Their derivations are also shown. The resulting L's and H's may prove useful in exploring new types of damped quantum systems.

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Charles E. Smith. 2006-01-18. Expressions for frictional and conservative force combinations within the dissipative Lagrange-Hamilton formalism. https://arxiv.org/abs/physics/0601133

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