Abstract
The problem of the spontaneous pair creation in strong electromagnetic fields is considered in the adiabatic switching formalism. The existence of a critical value of the strength of the external field at which the behaviour of the pair production probability has an abrupt change is proved.
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Nenciu, G.: On the adiabatic limit for Dirac particles in external fields. Commun. Math. Phys.76, 117–128 (1980)
Nenciu, G.: Strong external fields, in Q.E.D. Rigorous results. Proceedings of the International Summer School in Heavy Ion Physics, Romania 1978
Bongaarts, P.J.M.: The electron-positron field, coupled to external electromagnetic potentials as an elementaryC* algebra theory. Ann. Phys.56, 108–139 (1970)
Rafelski, J., Fulcher, L.P., Klein, A.: Fermions and bosons interacting with arbitrarily strong external fields. Phys. Rep.38 C, 227–361 (1978)
Brodsky, S.J., Mohr, P.K.: Q.E.D. in strong and supercritical fields in structure and collisions of ions and atoms. Sellin, I.A. (ed.). Berlin, Heidelberg, New York: Springer 1978
Reinhardt, J., Greiner, W.: Quantum electrodynamics of strong fields. Rep. Prog. Phys.40, 219–295 (1977)
Scharf, G., Seipp, H.P.: Charged vacuum, spontaneous positron production and all that. Phys. Lett.108 B, 196–198 (1982)
Seipp, H.P.: On theS-operator for the external field problem of QED. Helv. Phys. Acta55, 1–28 (1982)
Akhiezer, A.I., Berestetsky, V.B.: Quantum electrodynamics. New York: Interscience 1965
Abramowitz, M., Stegun, I.A.: Handbook of mathematical functions. Washington D.C.: U.S. Government Printing Office 1965
Hille, E.: Lectures on ordinary differential equations. Massachusetts: Addison Wesley 1969
Klaus, M., Scharf, G.: The regular external field problem in quantum electrodynamics. Helv. Phys. Acta50, 779–802 (1978)
Nenciu, G., Scharf, G.: On regular external fields in quantum electrodynamics. Helv. Phys. Acta51, 412–424 (1978)
Wightman, A.S.: Invariant wave equations; general theory and applications to the external field problem. In: Lecture Notes in Physics, Vol. 73. Berlin, Heidelberg, New York: Springer 1978
Simon, B.: Trace ideals and their applications. Cambridge: Cambridge University Press 1979
Kato, T.: On the adiabatic theorem of quantum mechanics. J. Phys. Soc. Jpn.5, 435–439 (1950)
Nenciu, G.: Adiabatic theorem and spectral concentration. I. Arbitrary order spectral concentration for the Stark effect in atomic physics. Commun. Math. Phys.82, 121–135 (1981)
Cowan, T. et al.: Observation of correlated narrow-peak structures in positron and electron spectra from superheavy ion collisions systems. Phys. Rev. Lett.56, 444–447 (1986)
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Nenciu, G. Existence of the spontaneous pair creation in the external field approximation of Q.E.D.. Commun.Math. Phys. 109, 303–312 (1987). https://doi.org/10.1007/BF01215224
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DOI: https://doi.org/10.1007/BF01215224