In this research, we present a fractional-order mathematical model that simulates the
ongoing phenomenon of marriage and divorce, which significantly impacts human lives. The …

The transformations of supersymmetric quantum mechanics are discussed within a
formalism that employs a six-parameter function, from which the superpotential and the …

The Schrödinger equation with the hyperbolic Scarf potential reported so far in the literature
is somewhat artificially manipulated into the form of the Jacobi equation with an imaginary …

Shannon entropy for the position and momentum eigenstates of an asymmetric trigonometric
Rosen–Morse potential for the ground and first excited states is evaluated. The position and …

On using the known equivalence between the presence of a position-dependent mass
(PDM) in the Schrödinger equation and a deformation of the canonical commutation …

The solution of the one-dimensional Schrödinger equation is discussed in the case of
position-dependent mass. The general formalism is specified for potentials that are solvable …

The introductory part of the paper outlines misfortunate history of one of Routh's most
remarkable works. It points to an important distinction between infinitely many Routh …

Ladder operators for the hyperbolic Rosen–Morse (RMII) potential are realized using the
shape invariance property appearing, in particular, using supersymmetric quantum …

Some extensions of the (third-class) Romanovski polynomials (also called
Romanovski/pseudo-Jacobi polynomials), which appear in bound-state wavefunctions of …

The bound state solutions of Dirac equations for a trigonometric Scarf potential with a new
tensor potential under spin and pseudospin symmetry limits are investigated using …