[HTML][HTML] Supersymmetric Wigner–Dunkl quantum mechanics
Wigner–Dunkl quantum mechanics can be viewed as deformed quantum mechanics, where
the commutator between canonical momentum and position operators contains in addition a …
the commutator between canonical momentum and position operators contains in addition a …
Ladder operators and coherent states for the Rosen–Morse system and its rational extensions
S Garneau-Desroches, V Hussin - Journal of Physics A …, 2021 - iopscience.iop.org
Ladder operators for the hyperbolic Rosen–Morse (RMII) potential are realized using the
shape invariance property appearing, in particular, using supersymmetric quantum …
shape invariance property appearing, in particular, using supersymmetric quantum …
Deformed Shape Invariant Superpotentials in Quantum Mechanics and Expansions in Powers of ℏ
C Quesne - Symmetry, 2020 - mdpi.com
We show that the method developed by Gangopadhyaya, Mallow, and their coworkers to
deal with (translational) shape invariant potentials in supersymmetric quantum mechanics …
deal with (translational) shape invariant potentials in supersymmetric quantum mechanics …
Recent Advances in Semiclassical Methods Inspired by Supersymmetric Quantum Mechanics
Semiclassical methods are essential in analyzing quantum mechanical systems. Although
they generally produce approximate results, relatively rare potentials exist for which these …
they generally produce approximate results, relatively rare potentials exist for which these …
Study on a Quantization Condition and the Solvability of Schr\"{o} dinger-type Equations
Y Nasuda - arxiv preprint arxiv:2403.20217, 2024 - arxiv.org
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 …
dinger equations. This quantization condition is called the SWKB (supersymmetric Wentzel …
A Method of Constructing Superpotentials by Combining Two Functions Based on Shape Invariance
W Qiu, Y Yin, W Cheng, Y Liu… - Advances in Mathematical …, 2024 - Wiley Online Library
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 …
Schrödinger equation, and it is also important to find more superpotentials that can be …
Numerical study of the SWKB condition of novel classes of exactly solvable systems
Y Nasuda, N Sawado - Modern Physics Letters A, 2021 - World Scientific
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 …
solvable quantum mechanical systems with the shape invariance. Recently, it was claimed …
Investigating of Singularity of Central Shape Invariant Potentials
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 …
singularity of the inverse-square power, has been investigated. It has been shown that in …
[BOOK][B] Quantum Mechanics II: Advanced Topics
S Rajasekar, R Velusamy - 2022 - taylorfrancis.com
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' …
the-art in various advanced topics of current research interest. A follow-up to the authors' …
Revisiting an isospectral extension of the Morse potential
C Quesne - The European Physical Journal Plus, 2021 - Springer
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