The operator-theoretic renormalization group (RG) methods are powerful analytic tools to
explore spectral properties of field-theoretical models such as quantum electrodynamics …

We study regularity of bound states pertaining to embedded eigenvalues of a self-adjoint
operator H, with respect to an auxiliary operator A that is conjugate to H in the sense of …

We consider a particle system coupled to the quantized electromagnetic or phonon field.
Assuming that the coupling is small enough and that Fermi's Golden Rule is satisfied, we …

We prove existence of a ground state and resonances in the standard model of the non-
relativistic quantum electro-dynamics (QED). To this end we introduce a new canonical …

We establish a limiting absorption principle for some long range perturbations of the Dirac
systems at threshold energies. We cover multi-center interactions with small coupling …

We consider the problem of propagation of photons in the quantum theory of non-relativistic
matter coupled to electromagnetic radiation, which is, presently, the only consistent quantum …

Asymptotic completeness for the massless spin-boson model - ScienceDirect Skip to main
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We study second order perturbation theory for embedded eigenvalues of an abstract class of
self-adjoint operators. Using an extension of the Mourre theory, under assumptions on the …

Scattering of photons at an atom with a dynamical nucleus is studied on the subspace of
states of the system with a total energy below the threshold for ionization of the atom …

Local Decay in Non-Relativistic QED Page 1 Digital Object Identifier (DOI) 10.1007/s00220-011-1339-1
Commun. Math. Phys. 309, 543–582 (2012) Communications in Mathematical Physics …