Weakly coupled Schroedinger operators on regular metric trees

2006/08/04 by Hynek Kovařík, Kovarik, Hynek
Mathematics · #34B24 #34B45 #34L40 #FOS: Physical sciences #Graph theory and applications #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.math-ph/0608013

openalex publication_date 2006/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Spectral properties of the Schroedinger operator A_λ = -Δ+λV on regular metric trees are studied. It is shown that as λ goes to zero the behavior of the negative eigenvalues of A_λ depends on the global structure of the tree.

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