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Levinson's theorem for Dirac particles with a long-range potential.

The property that the relative phase shift delta(E)-delta/sup(/sup 1/)(E) for the potential V/sup(/sup 2/) = V-V/sup(/sup 1/) and the difference of the numbers of the bound states n-n/sup(/sup 1/) satisfy Levinson's theorem for the Schroedinger problem is very useful for discussing the problem with a long-range potential and with a repulsive hard core. In terms of this property, Levinson's theorem is extended to the Dirac problem with a long-range potential in this paper.