Stephen J. Gustafson Israel Michael Sigal Third Edition Page 1 Universitext Stephen J.
Gustafson Israel Michael Sigal Mathematical Concepts of Quantum Mechanics Third Edition …

Cavity modification of material properties and phenomena is a novel research field largely
motivated by the advances in strong light-matter interactions. Despite this progress, exact …

In recent years, the spectral properties of the translation invariant Nelson model has been
studied. Some of the results obtained did not extend to the related polaron model for …

This monograph offers a state-of-the-art mathematical account of functional integration
methods in the context of self-adjoint operators and semigroups using the concepts and …

This work lays the foundation to accurately describe ground-state properties in multimode
photonic environments and highlights the importance of the mass renormalization procedure …

This work addresses the problem of infrared mass renormalization for a non-relativistic
electron minimally coupled to the quantized electromagnetic field (the standard …

We show that the ground state energy of the translationally invariant Nelson model,
describing a particle coupled to a relativistic field of massless bosons, is an analytic function …

We consider a spin-12 electron in the framework of non-relativistic Quantum
Electrodynamics (QED). Let H (p→, σ) denote the fiber Hamiltonian corresponding to the …

Abstract We construct the Hamilton–Poisson structure for the Maxwell–Lorentz equations
with spinning extended charged particle. We calculate the integral kernel of the …

We prove the stability of solitons of the Maxwell–Lorentz equations with extended charged
rotating particle. The solitons are solutions which correspond to the uniform rotation of the …