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A new method was developed to solve the Dirac equation and used to find analytical solutions for time-dependent electromagnetic fields that translate a given Dirac spinor along any desired trajectory in the x-y plane without distortion. As is well known, negative energy solutions describing antipart...

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Bibliographic Details
Published in:Physical review research 2020-07, Vol.2 (3), p.038002, Article 038002
Main Authors: Campos, Andre G., Cabrera, Renan
Format: Article
Language:English
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Summary:A new method was developed to solve the Dirac equation and used to find analytical solutions for time-dependent electromagnetic fields that translate a given Dirac spinor along any desired trajectory in the x-y plane without distortion. As is well known, negative energy solutions describing antiparticles play a prominent role in the Dirac theory of the electron, and a separation of the part of the wave function describing only electrons from the full solutions often needs to be done. Here, we clarify how the aforementioned separation is done, which is not clear in our recent publication [Campos and Cabrera, Phys. Rev. Research 2, 013051 (2020)10.1103/PhysRevResearch.2.013051].
ISSN:2643-1564
2643-1564
DOI:10.1103/PhysRevResearch.2.038002