Levinson theorem for Dirac particles in two dimensions

Abstract

The Levinson theorem for nonrelativistic quantum mechanics in two spatial dimensions is generalized to Dirac particles moving in a central field. The theorem relates the total number of bound states with angular momentum $j$ ($j=\pm 1/2,\pm 3/2,...$), $n_j$, to the phase shifts ${\eta }_j(\pm E_k)$ of scattering states at zero momentum as follows: ${\eta }_j(\mu )+{\eta }_j(-\mu )=n_j\pi$.

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References in corpus (1)

• Levinson theorem in two dimensions

Cited by in corpus (7)

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