We study the stability of the Schrödinger equation generated by time-dependent
Hamiltonians with constant form domain. That is, we bound the difference between solutions …

We study a system composed of a free quantum particle trapped in a box whose walls can
change their position. We prove the global approximate controllability of the system: any …

We study two seminal approaches, developed by B. Simon and J. Kisyński, to the well-
posedness of the Schrödinger equation with a time-dependent Hamiltonian. In both cases …

We investigate the controllability of an infinite-dimensional quantum system: a quantum
particle confined on a Thick Quantum Graph, a generalisation of Quantum Graphs whose …

We provide sufficient conditions for the approximate controllability of infinite-dimensional
quantum control systems corresponding to form perturbations of the drift Hamiltonian …

An analysis of the invariance properties of self-adjoint extensions of symmetric operators
under the action of a group of symmetries is presented. For a given group G, criteria for the …

We present a scheme for controlling the state of a quantum system by modifying the
boundary conditions. This constitutes an infinite-dimensional control problem. We provide …

A representation theorem for non-semibounded Hermitian quadratic forms in terms of a (non-
semibounded) self-adjoint operator is proven. The main assumptions are closability of the …

We address the problem of approximating the moments of the solution,, of an Itô stochastic
differential equation (SDE) with drift and diffusion terms over a time grid. In particular, we …

El principal objetivo de esta tesis es presentar y probar la viabilidad de un método no
estándar para controlar el estado de un sistema cuántico, cuya dinámica está gobernada …