Pauli-Fierz model with Kato-class potentials and exponential decays

Abstract

Generalized Pauli-Fierz Hamiltonian with Kato-class potential in nonrelativistic quantum electrodynamics is defined and studied by a path measure. is defined as the self-adjoint generator of a strongly continuous one-parameter symmetric semigroup and it is shown that its bound states spatially exponentially decay pointwise and the ground state is unique.

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