1995/10/09 by A Calogeracos, N Dombey, K Imagawa
Physics and Astronomy · #quant-ph
published as Phys.Atom.Nucl. 59 (1996) 1275-1289; Yad.Fiz. 59 (1996) 1331-1344 · 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
arxiv created 1995/10/09 · arxiv updated 2009/12/01
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.