arXiv Open Access 2022

Semiclassical spectral gaps of the 3D Neumann Laplacian with constant magnetic field

Frédéric Hérau Nicolas Raymond

Lihat Sumber

Abstrak

This article deals with the spectral analysis of the semiclassical Neumann magnetic Laplacian on a smooth bounded domain in dimension three. When the magnetic field is constant and in the semiclassical limit, we establish a four-term asymptotic expansion of the low-lying eigenvalues, involving a geometric quantity along the apparent contour of the domain in the direction of the field. In particular, we prove that they are simple.

Topik & Kata Kunci

math.SP

Penulis (2)

Frédéric Hérau

Nicolas Raymond

Format Sitasi

APA MLA BibTeX

Hérau, F., Raymond, N. (2022). Semiclassical spectral gaps of the 3D Neumann Laplacian with constant magnetic field. https://arxiv.org/abs/2203.06048

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓