Scattering Problem for a Classical Particle with Spin in a Coulomb Field
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 2, pp. 338-348 Cet article a éte moissonné depuis la source Math-Net.Ru

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We investigate the scattering problem for a relativistic electron with spin in a Coulomb field in the framework of pseudoclassical mechanics. We obtain an analytic expression for the scattering angle and limiting estimates for the scattering parameters for the spinless and nonrelativistic cases. For small angles, the pseudoclassical model under consideration leads to the well-known quantum-mechanical Mott formula.
Keywords: pseudoclassical mechanics, supersymmetry, superparticle, Bargmann–Michel–Telegdi equations, scattering.
Mots-clés : Mott formula
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V. I. Kozoriz; Yu. R. Musin. Scattering Problem for a Classical Particle with Spin in a Coulomb Field. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 2, pp. 338-348. http://geodesic.mathdoc.fr/item/TMF_2004_138_2_a9/

[1] L. D. Landau, E. M. Lifshits, Mekhanika, Nauka, M., 1988 | MR

[2] L. D. Landau, E. M. Lifshits, Teoriya polya, Nauka, M., 1988 | MR

[3] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, Nauka, M., 1988

[4] V. M. Galitskii, B. M. Karnakov, V. I. Kogan, Zadachi po kvantovoi mekhanike, Nauka, M., 1992 | MR

[5] N. Mott, G. Messi, Teoriya atomnykh stolknovenii, Mir, M., 1969

[6] F. A. Berezin, M. S. Marinov, Ann. Phys., 104 (1977), 336 | DOI | Zbl

[7] Yu. R. Musin, V. V. Cheredov, Vvedenie v supersimmetrichnuyu mekhaniku, Deponirovano v VINITI. No 8713-V88, VINITI, M., 1988

[8] F. Ravndal, Phys. Rev. D, 21 (1980), 2832 | DOI | MR

[9] P. G. O. Freund, Introduction to Supersymmetry, Springer, Berlin, 1986 | MR | Zbl

[10] Yu. R. Musin, V. I. Kozoriz, TMF, 123:1 (2000), 75 | DOI | MR | Zbl

[11] Yu. R. Musin, Izv. vuzov. Fizika, 7 (1991), 5 | MR

[12] H. Rumpf, Gen. Relativity Gravitation, 14:9 (1982), 773 | DOI | MR | Zbl

[13] S. R. de Groot, L. G. Sattorp, Elektrodinamika, Nauka, M., 1982

[14] H. Frommert, Int. J. Theor. Phys., 35:12 (1996), 2631 | DOI | MR | Zbl

[15] D. Bom, Kvantovaya teoriya, Nauka, M., 1965

[16] I. M. Ternov, Vvedenie v fiziku spina relyativistskikh chastits, Izd-vo MGU, M., 1997 | MR