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 consider the dynamics of the Bose–Hubbard model on general lattices and prove a Lieb–
Robinson bound for observables whose supports are separated by an initially almost …

We study the non-equilibrium statistical mechanics of a 2-level quantum system,?, coupled
to two independent free Fermi reservoirs? 1,? 2, which are in thermal equilibrium at inverse …

We prove bounds on the minimal time for quantum messaging, propagation/creation of
correlations, and control of states for general lattice quantum many-body systems. The …

Spatial localization of the electrons of an atom or molecule is studied in models of non-
relativistic matter coupled to quantized radiation. We give two definitions of the ionization …

We prove a maximal velocity bound for the dynamics of Markovian open quantum systems.
The dynamics are described by one-parameter semi-groups of quantum channels satisfying …

Scattering in a model of a massive quantum-mechanical particle, an ''electron'', interacting
with massless, relativistic bosons,''photons'', is studied. The interaction term in the …

We study the spectral theory of massless Pauli-Fierz models using an extension of the
Mourre method. We prove the local finiteness of point spectrum and a limiting absorption …

By and large, people are better at coining expressions than at filling them with interesting,
concrete contents. Thus, it may not be very surprising that there are many professional …

Within the general formalism of quantum theory irreversibility and the arrow of time in the
evolution of various physical systems are studied. Irreversible behavior often manifests itself …