In this work, we propose more realistic models with discrete and finite number of energy
levels that could fit well to molecules with potentials that were modeled previously as …

All known additive shape invariant superpotentials in nonrelativistic quantum mechanics
belong to one of two categories: superpotentials that do not explicitly depend on ħ, and their …

We show that the method developed by Gangopadhyaya, Mallow, and their coworkers to
deal with (translational) shape invariant potentials in supersymmetric quantum mechanics …

Supersymmetric quantum mechanics provides a powerful method for solving the
Schrödinger equation in quantum mechanics problems. In this paper, a hyperbolic tangent …

In this thesis, we study a quantization condition in relation to the solvability of Schr\"{o}
dinger equations. This quantization condition is called the SWKB (supersymmetric Wentzel …

We study the Schrödinger equation with a new quasi‐exactly solvable double‐well potential.
Exact expressions for the energies, the corresponding wave functions, and the allowed …

Supersymmetric quantum mechanics (SUSYQM) plays an important role in solving the
Schrödinger equation, and it is also important to find more superpotentials that can be …

The supersymmetric WKB (SWKB) condition is supposed to be exact for all known exactly
solvable quantum mechanical systems with the shape invariance. Recently, it was claimed …

Supersymmetric quantum mechanics has wide applications in physics. However, there are
few potentials that can be solved exactly by supersymmetric quantum mechanics methods …

We propose a new, exactly solvable Schr\"{o} dinger equation. The potential partner is given
by\[{V=}-Bp\operatorname {csch}[px]^{2}-9p (B+ p)\operatorname*{sech}[3px]^{2}+(B\coth …