We review the mathematical speed limits on quantum information processing in many-body
systems. After the proof of the Lieb–Robinson Theorem in 1972, the past two decades have …

This review is devoted to the study of stationary solutions of linear and nonlinear equations
from relativistic quantum mechanics, involving the Dirac operator. The solutions are found as …

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 present a review of the fundamental topics of Hartree–Fock theory in quantum chemistry.
From the molecular Hamiltonian, using and discussing the Born–Oppenheimer …

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 electronic Schrodi ̈ nger equation describes the motion of N electrons under Coulomb
interaction forces in a eld of clamped nuclei. Solutions of this equation depend on 3N …

S. Agmon,“On positive solutions of elliptic equations with periodic coefficients in RN, spectral
results and extensions to elliptic operators on Riemannian manifolds,” in Differential …

We present an overview of some works on the models of computational quantum chemistry.
We examine issues such as the existence of ground states (both for the electronic structure …

Geometric techniques have played an important role in the seventies, for the study of the
spectrum of many-body Schrödinger operators. In this paper we provide a formalism which …

Energies of the ground and excited states of excitons in GaAs/AlGaAs and InGaAs/GaAs
finite square quantum wells (QWs) of various widths are calculated. This is achieved by …