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The Strong Levinson Theorem for the Dirac Equation

Alex Calogeracos·Norman Dombey
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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.

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Alex Calogeracos, Norman Dombey. 2004-11-03. The Strong Levinson Theorem for the Dirac Equation. https://doi.org/10.1103/physrevlett.93.180405

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