Spectrum of the Dirac operator in shrinking tubes
Spectral Theory
2023-03-13 v1
Abstract
In this paper we investigate the spectrum of the Dirac operator posed in a tubular neighborhood of a planar loop with infinite mass boundary conditions. We show that when thewidth of the tubular neighborhood goes to zero the asymptotic expansion of the eigenvalues isdriven by a one dimensional operator of geometric nature involving the curvature of the loop.
Cite
@article{arxiv.2303.05814,
title = {Spectrum of the Dirac operator in shrinking tubes},
author = {Nour Kerraoui},
journal= {arXiv preprint arXiv:2303.05814},
year = {2023}
}