The exact analytical solutions of the Schrödinger equation for the generalized symmetrical
Woods-Saxon potential are examined for the scattering, bound, and quasi-bound states in …

The problem of spin-0 and spin-1 bosons subject to a general mixing of minimal and
nonminimal vector cusp potentials is explored in a unified way in the context of the Duffin …

The dynamics of the spin-1 particle is studied using the Duffin–Kemmer–Petiau (DKP)
equation. In this study, we exactly solve the one-space-dimensional DKP equation for the …

We solved the one-dimensional position-dependent mass Dirac equation in the presence of
the cusp potential and reported the solutions in terms of the Whittaker functions. We have …

A simple 1D relativistic model for a diatomic molecule with a double-point interaction
potential is solved exactly in a constant electric field. The Weyl–Titchmarsh–Kodaira method …

We present a study of the one-dimensional Klein–Gordon equation by a smooth barrier. The
scattering solutions are given in terms of the Whittaker Mκ, μ (x) function. The reflection and …

We calculate the tunneling process of a Dirac particle across two square barriers separated
by a distance d, as well as the scattering by a double-cusp barrier, where the centers of the …

We show that the energy spectrum of the one-dimensional Dirac equation, in the presence
of an attractive vectorial delta potential, exhibits a resonant behavior when one includes an …

We solve the one-dimensional time-independent Schrödinger equation in the presence of
the modified Cusp potential and report the solutions in terms of the Whittaker functions. We …

Bound states of a Klein–Gordon particle in the presence of a smooth potential well Page 1
International Journal of Modern Physics A Vol. 35, No. 23 (2020) 2050140 (8 pages) © World …