arXiv Open Access 2016

Sharp spectral estimates for the perturbed Landau Hamiltonian with $L^p$ potentials

Jean-Claude Cuenin

Lihat Sumber

Abstrak

We establish a sharp estimate on the size of the spectral clusters of the Landau Hamiltonian with $L^p$ potentials in two dimensions as the cluster index tends to infinity. In three dimensions, we prove a new limiting absorption principle as well as a unique continuation theorem. The results generalize to higher dimensions.

Topik & Kata Kunci

math.SP math-ph

Penulis (1)

Jean-Claude Cuenin

Format Sitasi

APA MLA BibTeX

Cuenin, J. (2016). Sharp spectral estimates for the perturbed Landau Hamiltonian with $L^p$ potentials. https://arxiv.org/abs/1607.05648

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2016
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓