arXiv Open Access 2013

Spectral band localization for Schrödinger operators on periodic graphs

Evgeny Korotyaev Natalia Saburova

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Abstrak

We consider Schrödinger operators on periodic discrete graphs. It is known that the spectrum of these operators has band structure. We obtain a localization of spectral bands in terms of eigenvalues of Dirichlet and Neumann operators on a finite graph, which is constructed from the fundamental cell of the periodic graph. The proof is based on the Floquet decomposition of Schrödinger operators and the minimax principle.

Topik & Kata Kunci

math.SP

Penulis (2)

Evgeny Korotyaev

Natalia Saburova

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APA MLA BibTeX

Korotyaev, E., Saburova, N. (2013). Spectral band localization for Schrödinger operators on periodic graphs. https://arxiv.org/abs/1310.3461

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Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓