We report an alternative method to solve second order differential equations which have at
most four singular points. This method is developed by changing the degrees of the …

We investigate the Schrödinger equation for a particle with a nonuniform solitonic mass
density. First, we discuss in extent the (nontrivial) position-dependent mass V (x)= 0 case …

We derive 35 five-parametric classes of the quantum time-dependent two-state models
solvable in terms of the general Heun functions. Each of the classes is defined by a pair of …

We examine the series expansions of the solutions of the confluent Heun equation in terms
of three different sets of the Kummer confluent hypergeometric functions. The coefficients of …

Based on recent results on quasi-exactly solvable Schrodinger equations, we review a new
phenomenological potential class lately reported. In the present paper, we consider the …

We analytically solve the position-dependent mass (PDM) 1D Schrödinger equation for a
new class of hyperbolic potentials| $ V_q^ p (x)=-V_0\frac {\sinh^ px}{\cosh^ qx},\, p=-2 …

The Heun functions satisfy linear ordinary differential equations of second order with certain
singularities in the complex plane. The first order derivatives of the Heun functions satisfy …

Starting from a second-order Fuchsian differential equation having five regular singular
points, an equation obeyed by a function proportional to the first derivative of the solution of …

We investigate the propagation modes of gauge fields in an infinite Randall-Sundrum
scenario. In this model a sine-Gordon soliton represents our thick four-dimensional …

We compute the full spectrum and eigenstates of the Kalb–Ramond field in a warped non-
compact Randall–Sundrum-type five-dimensional spacetime in which the ordinary four …