dorsal/arxiv
View SchemaConstant of Motion for several one-dimensional systems and outlining the problem associated with getting their Hamiltonians
| Authors | G. López, L. A. Barrera, Y. Garibo, H. Hernández, J. C. Salazar, C. A. Vargas |
|---|---|
| Categories | |
| ArXiv ID | physics/0402031 |
| URL | https://arxiv.org/abs/physics/0402031 |
| DOI | 10.1023/B:IJTP.0000049006.61937.c5 |
| Journal | International Journal of Theoretical Physics, vol. 43, issue 10, pp. 2009-2021 |
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 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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"abstract": "The constants of motion of the following systems are deduced: a relativistic\nparticle with linear dissipation, a no-relativistic particle with a time\nexplicitly depending force, a no-relativistic particle with a constant force\nand time depending mass, and a relativistic particle under a conservative force\nwith position depending mass. The problem of getting the Hamiltonian for these\nsystems is determined by getting the velocity as an explicit function of\nposition and generalized linear momentum, and this problem can be solved a\nfirst approximation for the first above system.",
"arxiv_id": "physics/0402031",
"authors": [
"G. L\u00f3pez",
"L. A. Barrera",
"Y. Garibo",
"H. Hern\u00e1ndez",
"J. C. Salazar",
"C. A. Vargas"
],
"categories": [
"physics.class-ph"
],
"doi": "10.1023/B:IJTP.0000049006.61937.c5",
"journal_ref": "International Journal of Theoretical Physics, vol. 43, issue 10,\n pp. 2009-2021",
"title": "Constant of Motion for several one-dimensional systems and outlining the problem associated with getting their Hamiltonians",
"url": "https://arxiv.org/abs/physics/0402031"
},
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