Explicit formulas for the Schroedinger wave operators in R²

2012/12/10 by Serge Richard, Richard, S., Rafael Tiedra de Aldecoa +1
Mathematics · #Advanced Mathematical Physics Problems #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1212.2230

openalex publication_date 2012/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we derive explicit formulas for the Schroedinger wave operators in R² under the assumption that 0-energy is neither an eigenvalue nor a resonance. These formulas justify the use of a recently introduced topological approach of scattering theory to obtain index theorems.

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