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 …

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 …

Starting with the Lagrangian formalism with N= 2 supersymmetry in terms of two Grassmann
variables in Classical Mechanics, the Dirac canonical quantization method is implemented …

An effective approach for solving the three-dimensional Dirac equation for spherically
symmetric local interactions, which we have introduced recently, is reviewed and …

We lift the constraint of a diagonal representation of the Hamiltonian by searching for square
integrable bases that support an infinite tridiagonal matrix representation of the wave …

The eigenenergies of the Schrödinger equation with Coulomb potential plus linear and
harmonic radial terms are investigated using the perturbation technique within the …

A known terminating polynomial ansatz for a finite sub-set of states of the sextic central
potential V (a, b, c; r)= ar 2+ br 4+ cr 6, c> 0, subject to integer related parameter constraints …

Analytic approximations for the eigenvalues have been obtained using the two-point
quasifractional approximants method. Here we extend and generalize previous work where …

A method based on supersymmetric quantum mechanics is given for obtaining exact
solutions of the potential V (r)= α/r+ p 1 r+ p 2 r 2+ p 3 r 3+ p 4 r 4 where α and the p's are …

The improved Hill determinant method with a variational parameter is applied to the general
polynomial quantum anharmonic-oscillator and multiwell-oscillator problems. We calculate …