Increase of the binding energy of an electron by coupling to a photon field

2002/04/27 by Christian Hainzl, Hainzl, Christian
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0204052

arxiv created 2002/04/27 · openalex publication_date 2002/04/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We look at an electron in the field of an arbitrary external potential V, such that the Schrödinger operator p² + V has at least one eigenvalue, and show that by coupling to a quantized radiation field the binding energy increases, at least for small enough values of the coupling constant α. Moreover, we provide concrete numbers for α, the ultraviolet cut-off Λ, and the radiative correction for which our procedure works.

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