Quantum scattering at low energies

2007/12/03 by Jan Dereziński, Erik Skibsted, Derezinski, Jan +1 · 2 citations
Mathematics · Physics and Astronomy · #35Q40 #81U05 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions #Random Matrices and Applications #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.0712.0195

openalex publication_date 2007/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a class of negative slowly decaying potentials, including V(x):=-γ|x|^-μ with 0

Citations

• Zero energy asymptotics of the resolvent for a class of slowly decaying potentials

Cited by

• Low-energy resolvent estimates for slowly decaying attractive potentials
• Semiclassical analysis of low and zero energy scattering for one dimensional Schrödinger operators with inverse square potentials
• Classical scattering at low energies

Related

• Classical scattering at low energies
• Complete asymptotic analysis of low energy scattering for Schrodinger operators with a short-range potential
• Threshold between short and long-range potentials for non-local Schrödinger operators
• Renormalized two-body low-energy scattering
• Renormalized two-body low-energy scattering