5 research outputs found
The No-Binding Regime of the Pauli-Fierz Model
The Pauli-Fierz model in nonrelativistic quantum electrodynamics
is considered. The external potential is sufficiently shallow and the
dipole approximation is assumed. It is proven that there exist constants
such that has no ground state for
, which complements an earlier result stating that there is
a ground state for . We develop a suitable extension of
the Birman-Schwinger argument. Moreover for any given examples of
potentials are provided such that .Comment: 18 pages and 1 figur