Interplay between Riccati, Ermakov, and Schrödinger equations to produce complex‐valued potentials with real energy spectrum

In particular, we study wave and beam propagation in complex periodic potentials to understand the dynamics of non-Hermitian systems with PT-symmetry.. Moreover, the

We denote by QSL 4 the class of all real quadratic differential systems (1) with p, q relatively prime ((p, q) = 1), with only a finite number of singularities at infinity,

We introduce a class of interaction potentials, that we call Quasi-Morse, for which flock and rotating mills states are also observed nu- merically, however in that case

The integration having been carried out along the real axis, the lowest eigenvalues jump from family to family when crossing the points where the potential is purely

boundaries of our mental models and develop tools to understand how the structure of complex systems creates their behavior.” We hypothesise the use of participatory system

In these many-electron diluted systems subject to inhomogeneous spatial confining potentials, we find out the existence of MPs, i.e., phases in which some regions of the

To further characterize how the interplay of the localized plasmonic resonances and the active medium enables lasing action in the considered class of systems, we study the dynamics

In this Thesis we study optimal constants in Hardy inequalities for Schr¨ odinger opera- tors with quadratic singular potentials, and we describe their contribution to the study