arXiv Open Access 2015

Sharp eigenvalue bounds on quantum star graphs

Semra Demirel-Frank

Lihat Sumber

Abstrak

We prove that the optimal constant in the Lieb--Thirring inequality on a star graph with $N$ edges coincides with that on $\mathbb R$ if $N$ is even. For odd $N$ we show that this property holds when restricting to radial potentials and we prove an almost optimal bound for general potentials.

Topik & Kata Kunci

math.SP math-ph

Penulis (1)

Semra Demirel-Frank

Format Sitasi

APA MLA BibTeX

Demirel-Frank, S. (2015). Sharp eigenvalue bounds on quantum star graphs. https://arxiv.org/abs/1503.06915

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2015
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓