The Strong Levinson Theorem for the Dirac Equation

Details The Strong Levinson Theorem for the Dirac Equation The Strong Levinson Theorem for the Dirac Equation

2004-11-03

arxiv.org/abs/quant-ph/0411026v1

Phys.Rev.Lett. 93 (2004) 180405

Physics

Quantum Physics

Submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevLett.93.180405

We consider the Dirac equation in one space dimension in the presence of a
symmetric potential well. We connect the scattering phase shifts at E=+m and
E=-m to the number of states that have left the positive energy continuum or
joined the negative energy continuum respectively as the potential is turned on
from zero.

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