JMP  Vol.6 No.9 , August 2015
One Dimensional Relativistic Particle in a Quadratic Dissipative Medium Subjected to a Force That Depends on the Position
Author(s) Federico Petrovich1
ABSTRACT
We will find a constant of motion with energy units for a relativistic particle moving in a quadratic dissipative medium subjected to a force which depends on the position. Then, we will find the Lagrangian and the Hamiltonian of the equation of motion in a time interval such that the velocity does not change its sign. Finally, we will see that the Lagrangian and Hamiltonian have some problems.

Cite this paper
Petrovich, F. (2015) One Dimensional Relativistic Particle in a Quadratic Dissipative Medium Subjected to a Force That Depends on the Position. Journal of Modern Physics, 6, 1185-1188. doi: 10.4236/jmp.2015.69122.
References
[1]   Dodonov, V.P., Manko, V.I. and Skarzhinsky, V.D. (1981) Hadronic Journal, 4, 1734.

[2]   Okubo, S. (1980) Physical Review D, 22, 919. http://dx.doi.org/10.1103/PhysRevD.22.919

[3]   Glauber, R. and Manko, V.I. (1984) Soviet Physics JETP, 60, 450.

[4]   Lpez, G. (1996) Annals of Physics, 251, 372-383. http://dx.doi.org/10.1006/aphy.1996.0118

[5]   Lpez, G. (1998) International Journal of Theoretical Physics, 37, 1617-1623.
http://dx.doi.org/10.1023/A:1026628221912

[6]   Lpez, G., Lpez, X.E. and Gonzlez, G. (2007) International Journal of Theoretical Physics, 46, 149-156.
http://dx.doi.org/10.1007/s10773-006-9224-y

[7]   Musielak, Z.E. (2008) Journal of Physics A: Mathematical and Theoretical, 41, Article ID: 055205.
http://dx.doi.org/10.1088/1751-8113/41/5/055205

[8]   Carinena, J.F. and Ranada, M.F. (2005) Journal of Mathematical Physics, 46, Article ID: 062703.

[9]   Sa Borges, J., Epele, L.N., Fanchiotti, H., Garca Canal, C.A. and Simao, F.R.A. (1987) The Quantization of Quadratic Friction Revisited.
http://www.iaea.org/inis/collection/NCLCollectionStore/_Public/19/006/19006200.pdf

[10]   Lpez, G.V., Montes, G.C. and Zanudo, J.G.T. (2015) Journal of Modern Physics, 6, 121-125.
http://dx.doi.org/10.4236/jmp.2015.62016

[11]   Leubner, C. (1987) Physical Review A, 86, 9.

[12]   Yan, C.C. (1981) American Journal of Physics, 49, 269. http://dx.doi.org/10.1119/1.12632

 
 
Top