arXiv Open Access 2012

On spectral estimates for the Schrödinger operators in global dimension 2

Grigori Rozenblum Michael Solomyak

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Abstrak

The problem of finding eigenvalue estimates for the Schrödinger operator turns out to be most complicated for the dimension 2. Some important results for this case have been obtained recently. We discuss these results and establish their counterparts for the operators on the combinatorial and metric graphs corresponding to the lattice Z^2.

Topik & Kata Kunci

math.SP

Penulis (2)

Grigori Rozenblum

Michael Solomyak

Format Sitasi

APA MLA BibTeX

Rozenblum, G., Solomyak, M. (2012). On spectral estimates for the Schrödinger operators in global dimension 2. https://arxiv.org/abs/1208.6372

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Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓