The nonlinear supersymmetric (SUSY) approach to spectral problems in quantum
mechanics (QM) is reviewed. Its building from the chains (ladders) of linear SUSY systems is …

In this brief review, we comment on the concept of shape invariant potentials, which is an
essential feature in many settings of N= 2 supersymmetric quantum mechanics. To motivate …

We recast the well-known Numerov method for solving Schrödinger's equation into a
representation of the kinetic energy operator on a discrete lattice. With just a few lines of …

We report a solution of the one-dimensional Schrödinger equation with a hyperbolic double-
well confining potential via a transformation to the so-called confluent Heun equation. We …

We show that there exist 35 choices for the coordinate transformation each leading to a
potential for which the stationary Schrödinger equation is exactly solvable in terms of the …

A bstract Scalar field theories with a shift symmetry come equipped with the K-mouflage (or
kinetic screening) mechanism that suppresses the scalar interaction between massive …

Supersymmetry (SUSY) relating bosons and fermions plays an important role in unifying
different fundamental interactions in particle physics. Since no superpartners of elementary …

We investigate the most general form of the one-dimensional Dirac Hamiltonian HD in the
presence of scalar and pseudoscalar potentials. To seek embedding of supersymmetry …

It is long since quantum mechanics became the central part of modern science that deals
with all forms of inorganic matter. Basic principles of quantum mechanics are well …

We study the Pöschl–Teller potential V (x)= α 2 gs sinh− 2 (α x)+ α 2 gc cosh− 2 (α x), for
every value of the dimensionless parameters gs and gc, including the less usual ranges for …