Communications in Mathematical Physics

, Volume 22, Issue 1, pp 27–43 | Cite as

Perturbation of pseudoresolvents and analyticity in 1/c in relativistic quantum mechanics

  • K. Veselić


The analytic functional calculus, relatively bounded and analytic perturbations of pseudoresolvents have been studied. As an application, the nonrelativistic limit of the Dirac and Klein-Gordon operator in the presence of an external static field has been considered. It has been proved that the resolvents of these operators have only a removable singularity atc=∞. This implies the analyticity atc=∞ of the eigenvalues and eigenvectors corresponding to the bound states of the mentioned operators.


Neural Network Statistical Physic Complex System Quantum Mechanic Static Field 
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Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • K. Veselić
    • 1
    • 2
  1. 1.Institute “Rudjer Bošković”Zagreb
  2. 2.Institute for MathematicsUniversity of ZagrebYugoslavia

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