We treat Nelson’s Hamiltonian HN(κ) under the infrared singularity condition [Ar, (3.14)]. HN(κ) describes a system of a quantum particle moving on the 3-dimensional Euclidean space R3 under the influence of an external potential V and interacting with a massless scalar Bose field. Betz et al. showed in [BHLMS, (6.7)] that soft photon number for Nelson’s… (More)

@inproceedings{Hirokawa2002DivergenceOS,
title={Divergence of Soft Photon Number and Absence of Ground State for Nelson’s Model},
author={Masao Hirokawa},
year={2002}
}