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The integration between the special relativity theory and quantum mechanics yielded many paradoxes that remained unsolved until the last years, like the ?''Zitterbewegung'' problem?. As well as the spin prediction from the Dirac equation could be identified only with non-relativistic approximations (Pauli and Foldy-Wouthysen). In this paper, we show that the derivation of the spin can be done with a classical treatment. By this approach a modified Dirac equation was obtained which also interpreted the relativistic ''Zitterbewegung'' as a classical ''Zitterbewegung''.
The integration between the special relativity theory and quantum mechanics yielded many paradoxes that remained unsolved until the last years, like the ?''Zitterbewegung'' problem?. As well as the spin prediction from the Dirac equation could be identified only with non-relativistic approximations (Pauli and Foldy-Wouthysen). In this paper, we show that the derivation of the spin can be done with a classical treatment. By this approach a modified Dirac equation was obtained which also interpreted the relativistic ''Zitterbewegung'' as a classical ''Zitterbewegung''.


[[Category:Scientific Paper]]
[[Category:Scientific Paper|classical zitterbewegung]]


[[Category:Relativity]]
[[Category:Relativity]]

Revision as of 13:11, 1 January 2017

Scientific Paper
TitleThe Classical Zitterbewegung
Author(s)Nizar Hamdan
Keywords{{{keywords}}}
Published2010
JournalGalilean Electrodynamics
Volume21
NumberS2
Pages30-34

Abstract

The integration between the special relativity theory and quantum mechanics yielded many paradoxes that remained unsolved until the last years, like the ?Zitterbewegung problem?. As well as the spin prediction from the Dirac equation could be identified only with non-relativistic approximations (Pauli and Foldy-Wouthysen). In this paper, we show that the derivation of the spin can be done with a classical treatment. By this approach a modified Dirac equation was obtained which also interpreted the relativistic Zitterbewegung as a classical Zitterbewegung.