Abstract
We propose an iterative procedure for the numerical evolution of Dirac equation. It is a fast and stable version of the coordinate-space predictor-corrector method and can be extended to (3+1) dimensions for the relativistic mean-field calculation of heavy-ion collisions. A detailed example is worked out for the case of the Bottcher-Strayer pair production mechanism in (1+1) dimensions.
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References
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The authors would like to thank C. Bottcher and M.R. Strayer for helpful discussions and additional detailed information about their calculations. One of us (J.W.) thanks the Joint Institute for Heavy Ion Research at ORNL for hospitality and Shen Longjun for motivating discussions. This work was supported in part by the Department of Energy Contract Numbers DE-AS-05-83 ER 40101 and DE-FG05-87 ER 40361.