A short review of the main properties of coherent and squeezed states is given in the
introductory form. The efforts are addressed to clarify concepts and notions, including some …

This book is based on courses on “Riccati, Ermakov and the Quantum-Classical
Connection”,“Nonlinearities and Dissipation in Classical and Quantum Physics” and “Is …

We consider the relations between nonstationary quantum oscillators and their stationary
counterpart in view of their applicability to study particles in electromagnetic traps. We …

The Darboux method is commonly used in the coordinate variable to produce new exactly
solvable (stationary) potentials in quantum mechanics. In this work we follow a variation …

The parametric Darboux transformation is applied to the paraxial Helmholtz equation for
graded-index media in order to generate new refractive index profiles depending also on the …

We present a novel approach to generate Bessel–Gauss modes of arbitrary integer order
and well-defined optical angular momentum in a gradient index medium of transverse …

We report a new set of Laguerre–Gaussian wave-packets that propagate with periodical self-
focusing and finite beam width in weakly guiding inhomogeneous media. These wave …

A description of the intensity distribution patterns of helical beams experimentally generated
by forked diffraction gratings is presented. The characterization of the diffraction orders so …

The paper of Ünal [J. Math. Phys. 59, 062104 (2018)], though worthy of attention, contains a
conclusion that is in error and may mislead the efforts to extend his results. The aim of the …

The previous chapters offer a reasonably good fit to spatial domain multiplexing (SDM)
propagation models using the modified Laguerre-Gaussian (LG) modes, however LG mode …