Ambiguities on the Hamiltonian formulation of the free falling particle with quadratic dissipation

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dc.creatorLopez, Gustavo
dc.creatorLopez, Pablo
dc.creatorLopez, Xaman-Ek
dc.creatorCastro, Rafael
dc.date2007-10-16
dc.date.accessioned2026-07-07T08:36:40Z
dc.date.available2026-07-07T08:36:40Z
dc.descriptionFor a free falling particle moving in a media which has quadratic velocity force effect on the particle, two equivalent constants of motion, with units of energy, two Lagrangians, and two Hamiltonians are deduced. These quantities describe the dynamics of the same classical system. However, their quantization and the associated statistical mechanics (for an ensemble of particles) describe two completely different quantum and statistical systems. This is shown at first order in the dissipative parameter.
dc.description12 pages, 1 figure (ps)
dc.identifierhttps://arxiv.org/abs/0710.3123
dc.identifierhttp://arxiv.org/abs/0710.3123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140141
dc.subjectQuantum Physics
dc.titleAmbiguities on the Hamiltonian formulation of the free falling particle with quadratic dissipation
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