The Strong Levinson Theorem for the Dirac Equation

Abstract

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.

Submitted to Physical Review Letters

References in corpus (3)

• Supercriticality and Transmission Resonances in the Dirac equation
• Fractional and Integer Charges from Levinson's Theorem
• Low Momentum Scattering in the Dirac Equation

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