arXiv Open Access 2011

Recovering quantum graphs from their Bloch spectrum

Ralf Rueckriemen

Lihat Sumber

Abstrak

We define the Bloch spectrum of a quantum graph to be the collection of the spectra of a family of Schrodinger operators parametrized by the cohomology of the quantum graph. We show that the Bloch spectrum determines the Albanese torus, the block structure and the planarity of the graph. It determines a geometric dual of a planar graph. This enables us to show that the Bloch spectrum completely determines planar 3-connected quantum graphs.

Topik & Kata Kunci

math.SP

Penulis (1)

Ralf Rueckriemen

Format Sitasi

APA MLA BibTeX

Rueckriemen, R. (2011). Recovering quantum graphs from their Bloch spectrum. https://arxiv.org/abs/1101.6002

Akses Cepat

Lihat di Sumber

Informasi Jurnal

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