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 …

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 …

Non-central forces have a wide variety of applications in classical and quantum mechanics
as demonstrated in this book. The author emphasizes the study of time-dependent …

We show that the conditional shape invariance symmetry can be used as a very powerful
tool to calculate the eigenvalues of the mixed potential V (r)= a r+ br 2+ c r+ l (l+ 1) r 2 for a …