In this review, we present the theoretical foundations and first-principles frameworks to
describe quantum matter within quantum electrodynamics (QED) in the low-energy regime …

Spectral and scattering theory of massive Pauli–Fierz Hamiltonians is studied. Asymptotic
completeness of these Hamiltonians is shown. The proof consists of three parts. The first is a …

We present a selective overview of the current state of our knowledge (more precisely of our
ignorance) regarding the derivation of Fourier's Law, J (r)=− κ∇ T (r); J the heat flux, T the …

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

We prove the adiabatic theorem for quantum evolution without the traditional gap condition.
All that this adiabatic theorem needs is a (piecewise) twice differentiable finite dimensional …

Most modern physicists and philosophers would agree that a decent interpretation of
quantum mechanics should fullfil at least two criteria. Firstly, it has to elucidate the physical …

The excited states of a charged particle interacting with the quantized electromagnetic field
and an external potential all decay, but such a particle should have a true ground state–one …

We consider systems of static nuclei and electrons–atoms and molecules–coupled to the
quantized radiation field. The interactions between electrons and the soft modes of the …

In this paper we present a self-contained and detailed exposition of the new renormalization
group technique proposed in [1, 2]. Its main feature is that the renormalization group …

We study an atom with finitely many energy levels in contact with a heat bath consisting of
photons blackbody radiation at a temperature T 0. The dynamics of this system is described …