This book introduces the factorization method in quantum mechanics at an advanced level,
with the aim of putting mathematical and physical concepts and techniques like the …

The Schrödinger equation is solved exactly for some well known potentials. Solutions are
obtained reducing the Schrödinger equation into a second order differential equation by …

Higher dimensional theories have attracted much attention because they make it possible to
reduce much of physics in a concise, elegant fashion that unifies the two great theories of …

We show that there exist some intimate connections between three unconventional
Schrödinger equations based on the use of deformed canonical commutation relations, of a …

Known shape-invariant potentials for the constant-mass Schrödinger equation are taken as
effective potentials in a position-dependent effective mass (PDEM) one. The corresponding …

In this article, we present a brief overview of some of the recent progress made in identifying
and generating finite dimensional integrable nonlinear dynamical systems, exhibiting …

We obtain exact solution of the Dirac equation for a charged particle with position-
dependent mass in the Coulomb field. The effective mass of the spinor has a relativistic …

The problem of d-dimensional Schrödinger equations with a position-dependent mass is
analyzed in the framework of first-order intertwining operators. With the pair (H, H1) of …

The quantum version of a non-linear oscillator, previously analyzed at the classical level, is
studied. This is a problem of quantization of a system with position-dependent mass of the …

Some exactly solvable potentials in the position dependent mass background are generated
whose bound states are given in terms of Laguerre-or Jacobi-type X1 exceptional …