A novel solution to the Klein–Gordon equation in the presence of a strong rotating electric field
The Klein–Gordon equation in the presence of a strong electric field, taking the form of the Mathieu equation, is studied. A novel analytical solution is derived for particles whose asymptotic energy is much lower or much higher than the electromagnetic field amplitude. The condition for which the n...
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| Format: | Article |
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Elsevier
2015-11-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269315006577 |
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doaj-423fe2652b994bdfaad3e384721b77782020-11-24T21:13:25ZengElsevierPhysics Letters B0370-26931873-24452015-11-01750C768110.1016/j.physletb.2015.08.056A novel solution to the Klein–Gordon equation in the presence of a strong rotating electric fieldE. Raicher0S. Eliezer1A. Zigler2Racah Institute of Physics, Hebrew University, Jerusalem 91904, IsraelDepartment of Applied Physics, Soreq Nuclear Research Center, Yavne 81800, IsraelRacah Institute of Physics, Hebrew University, Jerusalem 91904, IsraelThe Klein–Gordon equation in the presence of a strong electric field, taking the form of the Mathieu equation, is studied. A novel analytical solution is derived for particles whose asymptotic energy is much lower or much higher than the electromagnetic field amplitude. The condition for which the new solution recovers the familiar Volkov wavefunction naturally follows. When not satisfied, significant deviation from the Volkov wavefunction is demonstrated. The new condition is shown to differ by orders of magnitudes from the commonly used one. As this equation describes (neglecting spin effects) the emission processes and the particle motion in Quantum Electrodynamics (QED) cascades, our results suggest that the standard theoretical approach towards this phenomenon should be revised.http://www.sciencedirect.com/science/article/pii/S0370269315006577 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
E. Raicher S. Eliezer A. Zigler |
| spellingShingle |
E. Raicher S. Eliezer A. Zigler A novel solution to the Klein–Gordon equation in the presence of a strong rotating electric field Physics Letters B |
| author_facet |
E. Raicher S. Eliezer A. Zigler |
| author_sort |
E. Raicher |
| title |
A novel solution to the Klein–Gordon equation in the presence of a strong rotating electric field |
| title_short |
A novel solution to the Klein–Gordon equation in the presence of a strong rotating electric field |
| title_full |
A novel solution to the Klein–Gordon equation in the presence of a strong rotating electric field |
| title_fullStr |
A novel solution to the Klein–Gordon equation in the presence of a strong rotating electric field |
| title_full_unstemmed |
A novel solution to the Klein–Gordon equation in the presence of a strong rotating electric field |
| title_sort |
novel solution to the klein–gordon equation in the presence of a strong rotating electric field |
| publisher |
Elsevier |
| series |
Physics Letters B |
| issn |
0370-2693 1873-2445 |
| publishDate |
2015-11-01 |
| description |
The Klein–Gordon equation in the presence of a strong electric field, taking the form of the Mathieu equation, is studied. A novel analytical solution is derived for particles whose asymptotic energy is much lower or much higher than the electromagnetic field amplitude. The condition for which the new solution recovers the familiar Volkov wavefunction naturally follows. When not satisfied, significant deviation from the Volkov wavefunction is demonstrated. The new condition is shown to differ by orders of magnitudes from the commonly used one. As this equation describes (neglecting spin effects) the emission processes and the particle motion in Quantum Electrodynamics (QED) cascades, our results suggest that the standard theoretical approach towards this phenomenon should be revised. |
| url |
http://www.sciencedirect.com/science/article/pii/S0370269315006577 |
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