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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.

83A05 Special relativity
83C10 Equations of motion in general relativity and gravitational theory
Full Text: DOI
[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
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