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identifier@Schwinger-DeWitt proper-time expansion and eikonal approximation1985Physical Review D 0556-2821Article-In the context of the Dirac equation, we show that the Schwinger-DeWitt proper-time expansion of the exact Greens function is useful for high-energy scattering and, in fact, provides a systematic generalization of the eikonal approximation. Because of its simplicity and its direct appeal to the coordinate-space scattering picture, the Schwinger-DeWitt expansion method should be valuable in studying corrections to the lowest-order eikonal approximation. A numerical comparison is made for an exponential potential. Within the same framework a systematic formalism is also developed to deal with large-angle scattering, and this yields a generalization of Schiffs large-angle formula. Applications to high-energy scattering problems in quantum field theories are indicated. 1985 The American Physical Society./http://dspace.ewha.ac.kr/handle/2015.oak/229052
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