arXiv Open Access 2023

Spectrum of the Dirac operator in shrinking tubes

Nour Kerraoui

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.SP

Penulis (1)

Nour Kerraoui

Format Sitasi

APA MLA BibTeX

Kerraoui, N. (2023). Spectrum of the Dirac operator in shrinking tubes. https://arxiv.org/abs/2303.05814

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓