2015/03/24 by Semra Demirel-Frank, Demirel-Frank, Semra
Materials Science · Mathematics · #FOS: Mathematics #FOS: Physical sciences #Graph theory and applications #Graphene research and applications #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1503.06915
openalex publication_date 2015/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.