Spontaneous Fermion Production by a Supercritical Potential Well
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A second quantised theory of electrons and positrons in a deep time-dependent potential well is discussed. It is shown that positron production from the well is a natural consequence of Dirac's hole theory when the strength of the well becomes supercritical. A formalism is developed whereby the amplitude for emission of a positron of a given momentum can be calculated. The difference between positron production and electron-positron pair production is demonstrated. Considerations of the vacuum charge and of Levinson's theorem are required for a full description of the problem.
31 pages; following macros/styles included; tcilatex.tex, thmsupp.tex, a4.sty,sw20jart.sty,jeep.sty,gnuindex.sty, thmsa.sty,thmsb.sty,thmsc.sty,thmsd.sty;paper.ps is postscript version of paper
31 pages; following macros/styles included; tcilatex.tex, thmsupp.tex, a4.sty,sw20jart.sty,jeep.sty,gnuindex.sty, thmsa.sty,thmsb.sty,thmsc.sty,thmsd.sty;paper.ps is postscript version of paper