BOUNDARY-CONDITIONS ACROSS A DELTA-FUNCTION POTENTIAL IN THE ONE-DIMENSIONAL DIRAC-EQUATION

We have developed a unified perspective for boundary conditions concerned with (I) a direct relativistic treatment of a delta-function potential and (II) the delta-function limit of solutions for relativistic treatment of peaked potential. We have presented a critical discussion of our findings, especially in the context of (i) certain conditions related very importantly to this unified perspective and (ii) the difficulty in making a choice between the approaches (I) and (II) on the basis of mathematical analyses alone.