Levinson theorem for Dirac particles in two dimensions

Details Levinson theorem for Dirac particles in two dimensions Levinson theorem for Dirac particles in two dimensions

Publishing date

1998-06-23

URL

arxiv.org/abs/quant-ph/9806075v1

Journals

Phys.Rev. A57 (1998) 3478-3488

Science

Physics

Field

Quantum Physics

Additional info

LaTeX, no figure

Type

Scientific paper

Digital Object Identifier

10.1103/PhysRevA.57.3478

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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