Romanovski polynomials in selected physics problems

AP Raposo, HJ Weber, DE Alvarez-Castillo… - … European Journal of …, 2007 - Springer
We briefly review the five possible real polynomial solutions of hypergeometric differential
equations. Three of them are the well known classical orthogonal polynomials, but the other …

Parity doubling in particle physics

SS Afonin - International Journal of Modern Physics A, 2007 - World Scientific
Parity doubling in excited hadrons is reviewed. Parity degeneracy in hadrons was first
experimentally observed 40 years ago. Recently new experimental data on light mesons …

Exact analytic solutions for a Dirac electron moving in graphene under magnetic fields

Ş Kuru, J Negro, LM Nieto - Journal of Physics: Condensed …, 2009 - iopscience.iop.org
Exact analytical solutions for the bound states of a graphene Dirac electron in various
magnetic fields with translational symmetry are obtained. In order to solve the time …

Bound-state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry

KJ Oyewumi, CO Akoshile - The European Physical Journal A, 2010 - Springer
The energy spectra and the corresponding two-component spinor wave functions of the
Dirac equation for the Rosen-Morse potential with spin and pseudospin symmetry are …

Approximate solutions of the Dirac equation for the Rosen–Morse potential including the spin-orbit centrifugal term

SM Ikhdair - Journal of Mathematical Physics, 2010 - pubs.aip.org
Approximate solutions of the Dirac equation for the Rosen–Morse potential including the
spin-orbit centrifugal term | Journal of Mathematical Physics | AIP Publishing Skip to Main …

Exact spectrum and wave functions of the hyperbolic Scarf potential in terms of finite Romanovski polynomials

DE Alvarez-Castillo, M Kirchbach - Revista mexicana de física E, 2007 - scielo.org.mx
The Schrödinger equation with the hyperbolic Scarf potential reported so far in the literature
is somewhat artificially manipulated into the form of the Jacobi equation with an imaginary …

Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass

BG da Costa, GAC da Silva, IS Gomez - Journal of Mathematical …, 2021 - pubs.aip.org
We study the classical and quantum oscillator in the context of a non-additive (deformed)
displacement operator associated with a position-dependent effective mass by means of the …

[HTML][HTML] Soliton solutions of nonlinear Schrödinger equation with the variable coefficients under the influence of Woods–Saxon potential

Y Gu, B Chen, F Ye, N Aminakbari - Results in Physics, 2022 - Elsevier
In this article, we acquire soliton solutions of the nonlinear Schrödinger equation (NLSE)
with x-spatially varying coefficients involving Woods–Saxon potential by using the extended …

Quantum information entropies for an asymmetric trigonometric Rosen–Morse potential

GH Sun, SH Dong, N Saad - Annalen der Physik, 2013 - Wiley Online Library
Shannon entropy for the position and momentum eigenstates of an asymmetric trigonometric
Rosen–Morse potential for the ground and first excited states is evaluated. The position and …

Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations

C Quesne - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2009 - emis.de
On using the known equivalence between the presence of a position-dependent mass
(PDM) in the Schrödinger equation and a deformation of the canonical commutation …