Proper treatment of the delta function potential in the one-dimensional Dirac equation

American Journal of Physics - Tập 55 Số 8 - Trang 737-739 - 1987
M. G. Calkin1, D. Kiang1, Y. Nogami2
1Department of Physics, Dalhousie University, Halifax, Nova Scotia B3H 3J5, Canada
2Department of Physics, McMaster University, Hamilton, Ontario L8S 4M1, Canada

Tóm tắt

It is pointed out that the usual treatment of the delta function potential in the one-dimensional Dirac equation is incorrect. Steps leading to such incorrect results are identified. The delta function potential is also examined from the limiting case of a nonlocal potential V(x,x′). In this general case, the strength g=∫dx ∫dx′V(x,x′) is no longer a sufficient parameter to characterize a potential.

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