Abstract
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.
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-- Thesis, University of Zagreb, 1970.
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Veselić, K. Perturbation of pseudoresolvents and analyticity in 1/c in relativistic quantum mechanics. Commun.Math. Phys. 22, 27–43 (1971). https://doi.org/10.1007/BF01651582
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DOI: https://doi.org/10.1007/BF01651582