A General Method for Obtaining Degenerate Solutions to the Dirac and Weyl Equations and a Discussion on the Experimental Detection of Degenerate States |
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Authors: | Georgios N. Tsigaridas Aristides I. Kechriniotis Christos A. Tsonos Konstantinos K. Delibasis |
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Affiliation: | 1. Department of Physics, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, GR-15772 Zografou Athens, Greece;2. Department of Physics, University of Thessaly, GR-35100 Lamia, Greece;3. Department of Computer Science and Biomedical Informatics, University of Thessaly, GR-35131 Lamia, Greece |
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Abstract: | In this work, a general method is described for obtaining degenerate solutions of the Dirac equation, corresponding to an infinite number of electromagnetic 4-potentials and fields, which are explicitly calculated. More specifically, using four arbitrary real functions, one can automatically construct a spinor that satisfies the Dirac equation for an infinite number of electromagnetic 4-potentials, defined by those functions. An interesting characteristic of these solutions is that, in the case of Dirac particles with nonzero mass, the degenerate spinors should be localized, both in space and time. The method is also extended to the cases of massless Dirac and Weyl particles, where the localization of the spinors is no longer required. Finally, two experimental methods are proposed for detecting the presence of degenerate states. |
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Keywords: | degenerate solutions Dirac particles electromagnetic 4-potentials electromagnetic fields Weyl particles |
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