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International Conference: 2004 - Dynamical Systems and Applications
July 5-10, 2004

Antalya, Turkey

Organizers
Akca Haydar, Basem S. Attili, Boucherif Abdelkader, Cho Yeol Je, Covachev Valery, Gyori Istvan, Maksimov Vyacheslav, Stavroulakis Ioannis P.

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Classical chaos in the relativistic hydronen-like atom in constant uniform magnetic field
by
S.K. Avazbaev
Heat Physics Department of the Uzbek Academy of Sciences, 28 Katartal Str., 700135 Tashkent, Uzbekistan.
Coauthors: D.U. Matrasulov

Regular and chaotic dynamics of the relativistic hydrogen-like atom in a constant uniform magnetic field is studied on the basis of treatment of relativistic equations of motion for this system. Appropriate scaling transformations for the relativistic Hamiltonian are offered. Phase space portraits are plotted for various values of nuclear charge and scaled energy. It is found that the relativistic dynamics is more chaotic than the nonrelativistic one. The Lyapunov exponents are plotted for the relativistic case and compared with nonrelativistic counterpart of the system.

Date received: April 14, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caoe-10.