In the semiclassical limit, quantum mechanics shows differences between classically
integrable abd chaotic systems. Here we review recent developments in this field. Topics …

Let a data set {(xi, yi)∈ I× R; i= 0, 1,⋯, N} be given, where I=[x 0, x N]⊂ R. We introduce
iterated function systems whose attractors G are graphs of continuous functions f∶ I→ R …

We study the existence, uniqueness and regularity of the solution of the initial value problem
for the time dependent Schrödinger equation i∂ u/∂ t=(− 1/2) Δ u+ V (t, x) u, u (0)= u 0. We …

The spectral theory of linear operators plays a key role in the mathematical formulation of
quantum theory. This textbook provides a concise and comprehensible introduction to the …

The Schrödinger difference operator considered here has the form (H_\varepsilon (α) ψ)(n)=-
(ψ (n+ 1)+ ψ (n-1))+ V (nω+ α) ψ (n) where V is a C 2-periodic Morse function taking each …

Causality and stability are fundamental requirements for the differential equations describing
predictable relativistic many-body systems. In this work, we investigate the stability and …

We give an overview over the application of functional equations, namely the classical
Poincaré and renewal equations, to the study of the spectrum of Laplace operators on self …

We study the spectral properties of the Laplacian on infinite Sierpiński gaskets. We prove
that the Laplacian with the Neumann boundary condition has pure point spectrum …

We present in a self‐contained way a set of theoretical tools that allow us to analyze the
quantum dynamics of atoms or molecules driven by laser pulses and to determine pulse …

We eliminate by KAM methods the time dependence in a class of linear differential
equations in ℓ 2 subject to an unbounded, quasi-periodic forcing. This entails the pure-point …