A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

Recent progress on nonlinear properties of parity-time (PT)-symmetric systems is
comprehensively reviewed in this article. PT symmetry started out in non-Hermitian quantum …

In the past ten years, the ideas of supersymmetry have been profitably applied to many
nonrelativistic quantum mechanical problems. In particular, there is now a much deeper …

We show that the formalism of supersymmetry (SUSY), when applied to parity-time (PT)
symmetric optical potentials, can give rise to refractive index landscapes with altogether …

Transformation optics has formulated a versatile framework to mold the flow of light and
tailor its spatial characteristics at will. Despite its huge success in bringing scientific fiction …

Transformation optics aims to identify artificial materials and structures with desired
electromagnetic properties by means of pertinent coordinate transformations. In general …

Starting from a potential with a continuum of energy eigenstates, we show how the methods
of supersymmetric quantum mechanics can be used to generate families of potentials with …

Motivated by an idea of Dutra (1993), we obtain a new class of one-dimensional
conditionally exactly solvable potentials for which the entire spectra can be obtained in an …

A nonlinear (polynomial, N-fold) SUSY approach to preparation of quantum systems with pre-
planned spectral properties is reviewed. The full classification of ladder-reducible and …

In this work, we propose more realistic models with discrete and finite number of energy
levels that could fit well to molecules with potentials that were modeled previously as …