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math.SP2003
Spectral stability of the Coulomb-Dirac Hamiltonian with anomalous magnetic moment
Hubert Kalf, Karl Michael Schmidt
We show that the point spectrum of the standard Coulomb-Dirac operator H_0 is the limit of the point spectrum of the Dirac operator with anomalous magnetic moment H_a as the anomal…
math.SP2001
Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit
Karl Michael Schmidt
A perturbation decaying to 0 at infinity and not too irregular at 0 introduces at most a discrete set of eigenvalues into the spectral gaps of a one-dimensional Dirac operator on t…
math.SP1998
Spherically symmetric Dirac operators with variable mass and potentials infinite at infinity
Karl Michael Schmidt, Osanobu Yamada
We study the spectrum of spherically symmetric Dirac operators in three-dimensional space with potentials tending to infinity at infinity under weak regularity assumptions. We prov…