Wigner–Dunkl quantum mechanics can be viewed as deformed quantum mechanics, where
the commutator between canonical momentum and position operators contains in addition a …

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

Semiclassical methods are essential in analyzing quantum mechanical systems. Although
they generally produce approximate results, relatively rare potentials exist for which these …

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

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 …

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 …

In this research, the singularity of the central shape-invariant potentials, which have a
singularity of the inverse-square power, has been investigated. It has been shown that in …

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 …

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Quantum Mechanics II: Advanced Topics offers a comprehensive exploration of the state-of-
the-art in various advanced topics of current research interest. A follow-up to the authors' …