Decay rates of bound states at the spectral threshold of multi-particle Schrödinger operators

2019/11/22 by Simon Barth, Barth, Simon, Andreas Bitter +1
Computer Science · Mathematics · #47N50 (Secondary) #81Q10 (Primary) 47A75 #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1911.10061

openalex publication_date 2019/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider N-body Schrödinger operators with N≥3 particles in dimension d≥ 3 in the critical case when the lowest eigenvalue coincides with the bottom of the essential spectrum of the operator. We give the asymptotic behaviour of the corresponding eigenfunction in dependence of the dimension and the number of particles of the system.

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