Abstract
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 (z −H(c))−1 and the relativistic perturbation of isolated eigenvalues ofH ∞ are analytic in 1/c for sufficiently large |c|.
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References
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Communicated by K. Hepp
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Hunziker, W. On the nonrelativistic limit of the Dirac theory. Commun.Math. Phys. 40, 215–222 (1975). https://doi.org/10.1007/BF01609998
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DOI: https://doi.org/10.1007/BF01609998