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The Selfconsistent Pauli Equation

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Abstract.

 We deal with consistent first order non-relativistic corrections (i.e. in the small parameter , where c is the speed of light) of the Dirac–Maxwell system. We discuss a selfconsistent modeling of the Pauli equation as the O(ɛ) approximation of the Dirac equation. We suggest a coupling to the “magnetostatic”O(ɛ) approximation of the Maxwell equations consisting of Poisson equations for the four components of the potential. We sketch the semiclassical/nonrelativistic limits of this model.

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Authors and Affiliations

  1.  Courant Institute, New York, USA and Université de Paris 11, France, , , , , , FR

    Nader Masmoudi

  2.  Universität Wien, Austria, , , , , , AT

    Norbert J. Mauser

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  1. Nader Masmoudi
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  2. Norbert J. Mauser
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(Received 22 May 2000)

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Masmoudi, N., Mauser, N. The Selfconsistent Pauli Equation. Mh Math 132, 19–24 (2001). https://doi.org/10.1007/s006050170055

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  • DOI: https://doi.org/10.1007/s006050170055

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