Communications in Mathematical Physics

, Volume 40, Issue 3, pp 215–222 | Cite as

On the nonrelativistic limit of the Dirac theory

  • W. Hunziker


The relation between a “nonrelativistic” Hamiltonian of the formH=(A+B)2+C and a corresponding family of “Dirac-Hamiltonians”H(c) in the limitc → ∞ is investigated. It is shown that the resolvent (zH(c))−1 and the relativistic perturbation of isolated eigenvalues ofH are analytic in 1/c for sufficiently large |c|.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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    See for instance Bjorken, J. D., Drell, S. D.: Relativistic Quantum Mechanics. New York: McGraw Hill Inc. 1964Google Scholar
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    Hunziker, W.: unpublished report, available from the Institute of theoretical physics of the ETHGoogle Scholar
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    Prosser, R. T.: J. Math. Phys.4, 1048 (1964).Google Scholar
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    Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966Google Scholar
  7. 7.
    Hunziker, W.: Helv. Phys. Acta39, 452 (1966)Google Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • W. Hunziker
    • 1
  1. 1.Institut für Theoretische Physik der ETHZürichSwitzerland

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