Tomaschitz, R. (2005). Quantum tachyons, European Physical Journal D 32, 241-255, DOI: 10.1140/epjd/e2004-00185-0
Abstract (EDP Sciences, SpringerLink, SAO/NASA ADS)
The interaction of superluminal radiation with matter in atomic bound-bound and bound-free transitions is investigated. We study transitions in the relativistic hydrogen atom effected by superluminal quanta. The superluminal radiation field is coupled by minimal substitution to the Dirac equation in a Coulomb potential. We quantize the interaction to obtain the transition matrix for induced and spontaneous superluminal radiation in hydrogen-like ions. The tachyonic photoelectric effect is scrutinized, the cross-sections for ground state ionization by transversal and longitudinal tachyons are derived. We examine the relativistic regime, high electronic ejection energies, as well as the first order correction to the non-relativistic cross-sections. In the ultra-relativistic limit, both the longitudinal and transversal cross-sections are peaked at small but noticeably different scattering angles. In the non-relativistic limit, the longitudinal cross-section has two maxima, and its minimum is located at the transversal maximum. Ionization cross-sections can thus be used to discriminate longitudinal radiation from transversal tachyons and photons.
PACS
05.30.Ch - Quantum ensemble theory.
32.80.Fb - Photoionization of atoms and ions.
03.70.+k - Theory of quantized fields.
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Title: |
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Quantum tachyons |
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Authors: |
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Tomaschitz, R. |
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Affiliation: |
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AA(Department of Physics, Hiroshima University, 1-3-1 Kagami-yama, Higashi-Hiroshima 739-8526, Japan; roman@geminga.org) |
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Publication: |
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The European Physical Journal D, Volume 32, Issue 2, February 2005, pp.241-255 (EPJD Homepage) |
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Publication Date: |
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02/2005 |
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Origin: |
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PACS Keywords: |
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Quantum ensemble theory, Photoionization of atoms and ions, Theory of quantized fields |
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DOI: |
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Bibliographic Code: |
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description: Roman Tomaschitz (2005) Quantum tachyons, European Physical Journal D 32, 241.
Keywords: quantization of superluminal radiation, Proca fields with negative mass-square coupled to spinor currents, Proca equation, Dirac equation, interaction of tachyons with relativistic matter, tachyonic bound-bound and bound-free transitions in hydrogen-like ions, induced and spontaneous superluminal radiation, tachyonic photoelectric effect and tachyonic ionization cross-sections in the relativistic regime, polarized superluminal radiation, ionization by transversal and longitudinal tachyons
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