On Adiabatic Pair Creation
نویسندگان
چکیده
We give here the proof that pair creation 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, that is when an eigenvalue curve (as function of time) bridges the gap between the negative and positive spectral continuum. The potential may be assumed to be 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 Süßmann [2] in 1963 and Gershtein and Zeldovich [8] in 1970. Institut für theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090 Vienna, Austria E-mail: [email protected] Mathematisches Institut der Universität München, Theresienstraße 39, 80333 München, Germany. E-mail: [email protected]
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