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On properties of the discrete and continuous spectrum for the radial dirac equation

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Abstract

To characterize the Dirac radial equation spectrum, we introduce the notion of a quantum defect δk, which is a generalization of this notion for the Schrödinger radial equation. The existence of δk is proved and explicit formulas for calculating δk are found for a broad class of potentials.

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Authors and Affiliations

  1. The Ukrainian State A. S. Popov Academy of Communication, Ukraine

    L. A. Sakhnovich

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  1. L. A. Sakhnovich
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 108, No. 1, pp. 36–49, July, 1996.

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Sakhnovich, L.A. On properties of the discrete and continuous spectrum for the radial dirac equation. Theor Math Phys 108, 876–888 (1996). https://doi.org/10.1007/BF02070514

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  • DOI: https://doi.org/10.1007/BF02070514

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