Tomaschitz, R. (2005). Tachyonic ionization cross sections of hydrogenic systems, Journal of Physics A: Mathematical and General 38, 2201-2224, DOI: 10.1088/0305-4470/38/10/011
Abstract (IOPscience, SAO/NASA ADS, Zbl 1060.81615)
Transition rates for induced and spontaneous tachyon radiation in hydrogenic systems as well as the transversal and longitudinal ionization cross sections are derived. We investigate the interaction of the superluminal radiation field with matter in atomic bound–bound and bound–free transitions. Estimates are given for Ly-α transitions effected by superluminal quanta in hydrogen-like ions. The tachyonic photoelectric effect is scrutinized, in the Born approximation and at the ionization threshold. The angular maxima occur at different scattering angles in the transversal and longitudinal cross sections, which can be used to sift out longitudinal tachyonic quanta in a photon flux. We calculate the tachyonic ionization and recombination cross sections for Rydberg states and study their asymptotic scaling with respect to the principal quantum number. At the ionization threshold of highly excited states of order n ~ 104, the longitudinal cross section starts to compete with photoionization, in recombination even at lower levels.
PACS: 03.65.Nk, 03.70.+k, 32.80.Rm, 02.30.Gp
03.65.Nk Scattering theory
32.80.Rm Multiphoton ionization and excitation to highly excited states
81V45 Atomic physics
81Uxx Scattering theory (See also 34A55, 34L25, 34L40, 35P25, 47A40)
Subjects
Atomic and molecular physics
Quantum information and quantum mechanics
Zbl
1060.81615
Tomaschitz, Roman
Tachyonic ionization cross sections of hydrogenic systems.
[J] J.
Phys. A, Math. Gen. 38, No. 10, 2201-2224 (2005). ISSN 0305-4470
MSC 2000
*81U10 n-body potential
scattering theory
81Q05 Closed and approximate solutions to quantum-mechanical equations
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Tachyonic ionization cross sections of hydrogenic systems |
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Tomaschitz, Roman |
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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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Journal of Physics A: Mathematical and Theoretical, Volume 38, Issue 10, pp. 2201-2224 (2005). |
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03/2005 |
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description: Roman Tomaschitz (2005) Tachyonic ionization cross sections of hydrogenic systems, Journal of Physics A: Mathematical and General 38, 2201.
Keywords: superluminal radiation, Proca fields with negative mass-square, induced and spontaneous tachyon emission in hydrogenic systems, interaction of tachyons with matter in bound–bound and bound–free transitions, tachyonic Ly-α transitions in hydrogen-like ions, tachyonic photoelectric effect, ionization by transversal and longitudinal tachyons, tachyonic ionization and recombination cross sections of Rydberg atoms, tachyonic ionization of highly excited states, high-order hypergeometric polynomials, Lyman alpha, Ly-alpha
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