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Characterization and uniqueness of distinguished self-adjoint extensions of Dirac operators

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Abstract

Distinguished self-adjoint extensions of Dirac operators are characterized by Nenciu and constructed by means of cut-off potentials by Wüst. In this paper it is shown that the existence and a more explicit characterization of Nenciu's self-adjoint extensions can be obtained as a consequence from results of the cut-off method, that these extensions are the same as the extensions constructed with cut-off potentials and that they are unique in some sense.

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Authors and Affiliations

  1. Departments of Physics and Mathematics, Princeton University, 08540, Princeton, New Jersey, USA

    M. Klaus & R. Wüs

Authors
  1. M. Klaus
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  2. R. Wüs
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Additional information

Communicated by J. Ginibre

On leave from Universität Zürich, Schöneberggasse 9, CH-8001 Zürich. Supported by Swiss National Science Foundation

On leave from Technische Universität Berlin, Straße des 17. Juni 135, D-1000 Berlin

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Klaus, M., Wüs, R. Characterization and uniqueness of distinguished self-adjoint extensions of Dirac operators. Commun.Math. Phys. 64, 171–176 (1979). https://doi.org/10.1007/BF01197512

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  • DOI: https://doi.org/10.1007/BF01197512

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