Exact solutions of the Schrödinger equation for the pseudoharmonic potential: an application to some diatomic molecules

KJ Oyewumi, KD Sen - Journal of Mathematical Chemistry, 2012 - Springer
For arbitrary values n and ℓ quantum numbers, we present the solutions of the 3-
dimensional Schrödinger wave equation with the pseudoharmonic potential via the SU (1, 1) …

Ladder operators for Morse oscillator and a perturbed vibrational problem

SV Krasnoshchekov, X Chang - International Reviews in Physical …, 2019 - Taylor & Francis
Quantum-mechanical methods of solving the polyatomic vibrational Schrödinger equation
need higher quality zero-order approximations than ones originating from the harmonic …

Realization of the spectrum generating algebra for the generalized Kratzer potentials

KJ Oyewumi - International Journal of Theoretical Physics, 2010 - Springer
The dynamical symmetries of the Kratzer-type molecular potentials (generalized Kratzer
molecular potentials) are studied by using the factorization method. The creation and …

[PDF][PDF] Equivalence Relations for Darboux-Crum Transforms of Translationally Form-Invariant Sturm-Liouville Equations

G Natanson - 2021 - researchgate.net
Recently Gómez-Ullate et al [1] presented the detailed classification scheme of the
equivalence relations for 'pseudo-Wronskians'(p-Ws) of Laguerre and Jacobi polynomials …

Coherent states of position-dependent mass trapped in an infinite square well

N Amir, S Iqbal - Journal of Mathematical Physics, 2020 - pubs.aip.org
We develop generalized coherent states based on the Gazeau–Klauder formalism for a
particle with position-dependent mass trapped in an infinite square well. We study the …

Trigonometric quark confinement potential of QCD traits

CB Compean, M Kirchbach - The European Physical Journal A, 2007 - Springer
We make the case that the Coulomb-plus linear quark confinement potential predicted by
lattice QCD is an approximation to the exactly solvable trigonometric Rosen-Morse potential …

Information entropy, fractional revivals and Schrödinger equation with position-dependent mass

S Iqbal - Physica Scripta, 2022 - iopscience.iop.org
Abstract Information entropy has played a key role in a wide range of disciplines, for
instance, classical and quantum information processing, quantum computing, quantum …

[HTML][HTML] Shape invariance of solvable Schrödinger equations with a generalized hyperbolic tangent superpotential

SK Zhong, TY Xie, L Dong, CX Yang, LL Xiong, M Li… - Results in Physics, 2022 - Elsevier
Supersymmetric quantum mechanics provides a powerful method for solving the
Schrödinger equation in quantum mechanics problems. In this paper, a hyperbolic tangent …

Quark Confinement from Different Dressed Gluon Propagators

MA Bedolla, K Raya, A Raya - Few-Body Systems, 2023 - Springer
The gap equation in quantum chromodynamics is solved by incorporating different gluon
dressing functions, some of them derived from a quark–diquark potential that exhibits a …

Quantum carpets: efficiently probing fractional revivals in position-dependent mass systems

T Bibi, S Javed, S Iqbal - Communications in Theoretical Physics, 2022 - iopscience.iop.org
Position-dependent-mass systems are of great importance in many physical situations, such
as the transport of charge carriers in semiconductors with non-uniform composition and in …