Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit
| dc.creator | Schmidt, Karl Michael | |
| dc.date | 2001-11-09 | |
| dc.date.accessioned | 2026-07-07T04:44:30Z | |
| dc.date.available | 2026-07-07T04:44:30Z | |
| dc.description | 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 the half-line. We show that the number of these eigenvalues in a compact subset of a gap in the essential spectrum is given by a quasi-semiclassical asymptotic formula in the slow-decay limit, which for power-decaying perturbations is equivalent to the large-coupling limit. This asymptotic behaviour elucidates the origin of the dense point spectrum observed in spherically symmetric, radially periodic three-dimensional Dirac operators. | |
| dc.identifier | https://arxiv.org/abs/math/0111115 | |
| dc.identifier | http://arxiv.org/abs/math/0111115 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62615 | |
| dc.subject | Spectral Theory | |
| dc.subject | 34L20, 34L40, 47E05, 81Q10, 81Q15 | |
| dc.title | Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit | |
| dc.type | text |