Poles of matrix elements of the resolvent connected with the range in an oscillator-boson coupling
Centre de Physique Théorique, École Polytechnique, 91128 Palaiseau
Published online: 13 August 2013
In a simple model in which a harmonic oscillator is coupled to massless scalar bosons, we exhibit poles of matrix elements of the resolvent of the Hamiltonian which differ from those usually attributed to the excited levels of the isolated oscillator. We give reasons why one should expect such poles in atom-radiation interaction and explain how their importance depends on the range of the interaction.
PACS: 03.65.-w – Quantum mechanics / 32. – Atomic properties and interactions with photons
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000