[HTML][HTML] Supersymmetric Wigner–Dunkl quantum mechanics

SH Dong, WS Chung, G Junker, H Hassanabadi - Results in Physics, 2022 - Elsevier
Wigner–Dunkl quantum mechanics can be viewed as deformed quantum mechanics, where
the commutator between canonical momentum and position operators contains in addition a …

A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator

JF Carinena, AM Perelomov, MF Ranada… - Journal of Physics A …, 2008 - iopscience.iop.org
A nonpolynomial one-dimensional quantum potential representing an oscillator, which can
be considered as placed in the middle between the harmonic oscillator and the isotonic …

Supersymmetric Gödel universes in string theory

T Harmark, T Takayanagi - Nuclear Physics B, 2003 - Elsevier
Supersymmetric backgrounds in string and M-theory of the Gödel Universe type are studied.
We find several new Gödel Universes that preserve up to 20 supersymmetries. In particular …

Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method

SM Ikhdair, R Sever - Journal of Mathematical Physics, 2011 - pubs.aip.org
A nonpolynomial one-dimensional quantum potential in the form of an isotonic oscillator
(harmonic oscillator with a centripetal barrier) is studied. We provide the nonrelativistic …

[PDF][PDF] Supersymmetric solution of the Schrödinger equation for Woods–Saxon potential by using the Pekeris approximation

H Feizi, AA Rajabi, MR Shojaei - Acta Physica Polonica B, 2011 - s3.cern.ch
An analytical solution of the radial Schrödinger equation is of high importance in
nonrelativistic quantum mechanics, because the wave function contains all necessary …

Non-Hermitian supersymmetry and singular, 𝒫𝒯-symmetrized oscillators

M Znojil - Journal of Physics A: Mathematical and General, 2002 - iopscience.iop.org
Hermitian supersymmetric partnership between singular potentials V (q)= q 2+ G/q 2 breaks
down and can only be restored on certain ad hoc subspaces (Das A and Pernice S 1999 …

Exact solution of position dependent mass Schrödinger equation by supersymmetric quantum mechanics

R Koc, H Tütüncüler - Annalen der Physik, 2003 - Wiley Online Library
The study of Schrödinger equation with a position dependent mass has been the subject of
recent interest arising from the study of electronic properties of semiconductors, quantum …

Galoisian approach to supersymmetric quantum mechanics

PB Acosta-Humanez - arxiv preprint arxiv:0906.3532, 2009 - arxiv.org
This thesis is concerning to the Differential Galois Theory point of view of the
Supersymmetric Quantum Mechanics. The main object considered here is the non …

Supersymmetry, PT-symmetry and spectral bifurcation

K Abhinav, PK Panigrahi - Annals of Physics, 2010 - Elsevier
We demonstrate that large class of PT-symmetric complex potentials, which can have
isospectral real partner potentials, possess two different superpotentials. In the parameter …

Spectrum of Schrödinger Hamiltonian operator with singular inverted complex and Kratzer's molecular potentials in fractional dimensions

RA El-Nabulsi - The European Physical Journal Plus, 2018 - Springer
Singular potentials play a key role in the study of quantum properties of molecular
interactions and in different branches of physics and quantum chemistry. They assist us to …