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Title: Constants of motion for several one-dimensional systems and problems associated with getting their hamiltonians
Author: Lopez, G.
Barrera, L.A.
Garibo, Y.
Hernandez, H.
Salazar, J.C.
Vargas, C.A.
Issue Date: 2004
Abstract: The constants of motion of the following systems are deduced: a relativistic particle with linear dissipation; a no-relativistic particle with a time explicitly depending force; a no-relativistic particle with a constant force and time depending mass; and a relativistic particle under a conservative force with position depending mass. The Hamiltonian for these systems, which is determined by getting the velocity as a function of position and generalized linear momentum, can be found explicitly at first approximation for the first system. The Hamiltonians for the other systems are kept implicitly in their expressions for their constants of motion. © 2004 Springer Science+Business Media, Inc. constant of motion.
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