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Levinson theorem for Dirac particles in one dimension

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Abstract:

The scattering of Dirac particles by symmetric potentials in one dimension is studied. A Levinson theorem is established. By this theorem, the number of bound states with even(odd)-parity, n+ (n-), is related to the phase shifts [] of scattering states with the same parity at zero momentum as follows: The theorem is verified by several simple examples.

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Authors and Affiliations

  1. China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, P.R. China and Department of Physics, Zhongshan University, Guangzhou 510275, P.R. China, , , , , , CN

    Qiong-gui Lin

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  1. Qiong-gui Lin
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Received 26 August 1998 and Received in final form 18 January 1999

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Lin, Qg. Levinson theorem for Dirac particles in one dimension. Eur. Phys. J. D 7, 515–524 (1999). https://doi.org/10.1007/s100530050379

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  • DOI: https://doi.org/10.1007/s100530050379

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