arXiv Open Access 2011

Periodic and limit-periodic discrete Schrödinger operators

Helge Krueger

Lihat Sumber

Abstrak

The theory of discrete periodic and limit-periodic Schrödinger operators is developed. In particular, the Floquet--Bloch decomposition is discussed. Furthermore, it is shown that an arbitrarily small potential can add a gap for even periods. In dimension two, it is shown that for coprime periods small potential terms don't add gaps thus proving a Bethe--Sommerfeld type statement. Furthermore limit-periodic potentials whose spectrum is an interval are constructed.

Topik & Kata Kunci

math.SP

Penulis (1)

Helge Krueger

Format Sitasi

APA MLA BibTeX

Krueger, H. (2011). Periodic and limit-periodic discrete Schrödinger operators. https://arxiv.org/abs/1108.1584

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓