The Classical Zitterbewegung: Difference between revisions
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| title = The Classical Zitterbewegung | | title = The Classical Zitterbewegung | ||
| author = [[Nizar Hamdan]] | | author = [[Nizar Hamdan]] | ||
| keywords = special relativity theory, quantum mechanics, Dirac Equation, spin | |||
| published = 2010 | | published = 2010 | ||
| journal = [[Galilean Electrodynamics]] | | journal = [[Galilean Electrodynamics]] | ||
| volume = | | volume = 21 | ||
| number = | | number = S2 | ||
| pages = 30-34 | | pages = 30-34 | ||
}} | }} | ||
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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|classical zitterbewegung]] | ||
Latest revision as of 09:36, 21 July 2026
| Scientific Paper | |
|---|---|
| Title | The Classical Zitterbewegung |
| Author(s) | Nizar Hamdan |
| Keywords | special relativity theory, quantum mechanics, Dirac Equation, spin |
| Published | 2010 |
| Journal | Galilean Electrodynamics |
| Volume | 21 |
| Number | S2 |
| Pages | 30-34 |
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.