On Adiabatic Pair Creation |
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Authors: | Peter Pickl and Detlef Dürr |
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Institution: | (1) Institut für Theoretische Physik, Universit?t Wien, Boltzmanngasse 5, 1090 Vienna, Austria;(2) Mathematisches Institut der Universit?t München, Theresienstra?e 39, 80333 München, Germany |
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Abstract: | We give here a rigorous proof of the well known prediction of pair creation as it arises from the Dirac equation with an external
time dependent potential. Pair creation happens with probability one if the potential changes adiabatically in time and becomes
overcritical, which means that an eigenvalue curve (as a function of time) bridges the gap between the negative and positive
spectral continuum. The potential can be thought of as being zero at large negative and large positive times. The rigorous
treatment of this effect has been lacking since the pioneering work of Beck, Steinwedel and Sü?mann 1] in 1963 and Gershtein
and Zeldovich 8] in 1970. |
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Keywords: | |
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