Abstract
A four-parameter family of all self-adjoint operators corresponding to the one-dimensional Dirac Hamiltonian with point interaction is characterized in terms of boundary conditions. The spectrum and eigenvectors, and the scattering parameters are calculated. It is shown that the nonrelativistic limit reproduces (in the norm resolvent sense) the four-parameter family of Schrödinger operators with point interaction, their eigenvalues and scattering parameters.
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Graduiertenkolleg ‘Geometrie und mathematische Physik’.
Alexander von Humboldt fellow. On leave of absence from SISSA, Trieste, Italy.