×

zbMATH — the first resource for mathematics

Relativistic motion with linear dissipation. (English) Zbl 1115.83002
Summary: A general formalism for obtaining the Lagrangian and Hamiltonian for a one-dimensional dissipative system is developed. The formalism is illustrated by applying it to the case of a relativistic particle with linear dissipation. The relativistic wave equation is solved for a free particle with linear dissipation.

MSC:
83A05 Special relativity
83C10 Equations of motion in general relativity and gravitational theory
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Chung-In, U., Kyu-Hwang, Y., and Thomas, F. G. (2002). Physics Reports 362, 63–192. · Zbl 0991.81056
[2] Goldstein, H. (1980). Classical Mechanics, Addison-Wesley, Reading, MA. · Zbl 0491.70001
[3] Gonzàlez, G. (2004). International Journal of Theoretical Physics 43, 1885–1890. · Zbl 1130.70319
[4] Lòpez, G. (1996). Annals of Physics 251, 363–383. · Zbl 0894.70010
[5] Lòpez, G. and Gonzàlez, G. (2004). International Journal of Theoretical Physics 43, 1999–2008. · Zbl 1072.81025
[6] Santilli, R. M. (1978). Foundations of Theoretical Physics I, Springer-Verlag, Berlin. · Zbl 0401.70015
[7] Vujanovic, B. D. and Jones, S. E. (1989). Variational Methods in Nonconservative Phenomena, Academic Press, New York. · Zbl 0715.70003
[8] Watson, G. N. (1966). A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge. · Zbl 0174.36202
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.