Constant of Motion for several one-dimensional systems and outlining the problem associated with getting their Hamiltonians

Details Constant of Motion for several one-dimensional systems and outlining the problem associated with getting their Hamiltonians Constant of Motion for several one-dimensional systems and outlining the problem associated with getting their Hamiltonians

2004-02-05

arxiv.org/abs/physics/0402031v1

International Journal of Theoretical Physics, vol. 43, issue 10, pp. 2009-2021

Physics

Classical Physics

15 pages, TeX

Scientific paper

10.1023/B:IJTP.0000049006.61937.

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 problem of getting the Hamiltonian for these systems is determined by getting the velocity as an explicit function of position and generalized linear momentum, and this problem can be solved a first approximation for the first above system.

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