Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit

Schmidt, Karl Michael 2003. Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit. Proceedings Of The American Mathematical Society 131 (4) , pp. 1205-1214.

PDF - Published Version
Download (356kB) | Preview


A perturbation decaying to 0 at 1 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.

Item Type: Article
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Additional Information: First published in Proceedings Of the American Mathematical Society in Vol. 131, no.4, 2003, published by the American Mathematical Society.
Publisher: American Mathematical Society
Date of First Compliant Deposit: 30 March 2016
Last Modified: 05 Jun 2017 03:11

Citation Data

Cited 7 times in Google Scholar. View in Google Scholar

Cited 3 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item


Downloads per month over past year

View more statistics