In previous papers, a generalization of the Weyl calculus was introduced in connection with
the quantization of a particle moving in R n under the influence of a variable magnetic field …

How does the spectrum of a Schrödinger operator vary if the corresponding geometry and
dynamics change? Is it possible to define approximations of the spectrum of such operators …

We study generalized magnetic Schrödinger operators of the form Hh (A, V)= h (ΠA)+ V,
where h is an elliptic symbol, ΠA=− i∇− A, with A a vector potential defining a variable …

In previous articles, a magnetic pseudodi erential calculus and a family of C*-algebras
associated with twisted dynamical systems were introduced and the connections between …

In this paper, we employ a simple nonrelativistic model to describe the low energy excitation
of graphene. The model is based on a deformation of the Heisenberg algebra which makes …

We show for a large class of discrete Harper-like and continuous magnetic Schrödinger
operators that their band edges are Lipschitz continuous with respect to the intensity of the …

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 …

We study the spectral location of a strongly pattern equivariant Hamiltonians arising through
configurations on a colored lattice. Roughly speaking, two configurations are “close to each …

We analyse the spectral edge regularity of a large class of magnetic Hamiltonians when the
perturbation is generated by a globally bounded magnetic field. We can prove Lipschitz …

The theme of this work is that the theory of charged particles in a uniform magnetic field can
be generalized to a large class of operators if one uses an extended a class of Weyl …