Gheorghe Nenciu

The Faraday effect revisited: Thermodynamic limit

Abstract This paper is the second in a series revisiting the (effect of) Faraday rotation. We formulate and prove the thermodynamic limit for the transverse electric conductivity of Bloch electrons, as well as for the Verdet constant. The main mathematical tool is a regularized magnetic and geometric perturbation theory combined with elliptic regularity and Agmon–Combes–Thomas uniform exponential decay estimates.

On the Construction of Composite Wannier Functions

We give a constructive proof for the existence of a Bloch basis of rank

Metastable states when the Fermi Golden Rule constant vanishes

{N}

On Essential Self-Adjointness for Magnetic Schrödinger and Pauli Operators on the Unit Disc in {\mathbb {R}^2}

N which is both smooth (real analytic) and periodic with respect to its

One dimensional periodic Dirac Hamiltonians: Semiclassical and high‐energy asymptotics for gaps

{d}

Mathematical Results in Quantum Mechanics

d-dimensional quasi-momenta, when