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 …

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

Given a spatially dependent mass distribution, we obtain potential functions for exactly
solvable nonrelativistic problems. The energy spectrum of the bound states and their wave …

In the present review, we deal with the recently introduced method of spectral parameter
power series (SPPS) and show how its application leads to an explicit form of the …

The analytical solutions of the Schrödinger equation with position-dependent mass for the
Morse potential are obtained by the series expansion method. The Morse potential and the …

In this study, we introduce a new approach to construct the Schrödinger equation with
position-dependent mass characterized by an emerging particle's effective mass, in perfect …

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 …

Schrödinger equation with position-dependent mass (PDM) allows the identification of
quantum wave functions in a complex environment. Following the progress of this …

We study the Schrödinger equation with spatial mass distributions for a class of exactly
solvable potentials. We obtain the analytical solutions by transforming the mass distribution …

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 …