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 …

Experiments at the interface of quantum optics and chemistry have revealed that strong
coupling between light and matter can substantially modify the chemical and physical …

The present chapter is purely mathematical. The reader, who is more interested in physics
than mathematics can omit this chapter and go directly to Chapter 4, where the formalism of …

Traditionally, philosophers of quantum mechanics have addressed exceedingly simple
systems: a pair of electrons in an entangled state, or an atom and a cat in Dr. Schrödinger's …

This book began as course notes prepared for a class taught at Columbia University during
the 2012-13 academic year. The intent was to cover the basics of quantum mechanics, up to …

We start from a hypothetical multi-fold universe U_ {MF}}, where the propagation of
everything is slower or equal to the speed of light and where entanglement extends the set …

Unifying topics that are scattered throughout the literature, this book offers a definitive review
of mathematical aspects of quantization and quantum field theory. It presents both basic and …

We present a new construction of the Euclidean Φ^ 4 Φ 4 quantum field theory on R^ 3 R 3
based on PDE arguments. More precisely, we consider an approximation of the stochastic …

Algebraic quantum field theory provides a general, mathematically precise description of the
structure of quantum field theories, and then draws out consequences of this structure by …