Classical monopoles: Newton, NUT space, gravomagnetic lensing, and atomic spectra

D Lynden-Bell, M Nouri-Zonoz - Reviews of Modern Physics, 1998 - APS
This article reviews the dynamics and observational signatures of particles interacting with
monopoles, beginning with a scholium in Newton'sPrincipia. The orbits of particles in the …

Bound-state solutions of the Dirac oscillator in an Aharonov-Bohm-Coulomb system

RRS Oliveira, RV Maluf, CAS Almeida - Annals of Physics, 2019 - Elsevier
In this work, we study the (2+ 1)-dimensional Dirac oscillator in the presence of a
homogeneous magnetic field in an Aharonov-Bohm-Coulomb system. To solve our system …

The relativistic Aharonov–Bohm–Coulomb system with position-dependent mass

RRS Oliveira, AA Araújo Filho, RV Maluf… - Journal of Physics A …, 2020 - iopscience.iop.org
In this work, we study the influence of the Aharonov–Bohm–Coulomb (ABC) system on the
relativistic and non-relativistic quantum dynamics of a charged Dirac particle with position …

Supersymmetric solutions of non-central potentials

B Gönül, İ Zorba - Physics Letters A, 2000 - Elsevier
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Polynomial solution of non-central potentials

SM Ikhdair, R Sever - International Journal of Theoretical Physics, 2007 - Springer
We show that the exact energy eigenvalues and eigenfunctions of the Schrödinger equation
for charged particles moving in certain class of non-central potentials can be easily …

[PDF][PDF] Approximate Solution of Schrodinger Equation for Modified Poschl-Teller plus Trigonometric Rosen-Morse Non-Central Potentials in Terms of Finite …

A Suparmi, C Cari, J Handhika, C Yanuarief… - IOSR Journal of Applied …, 2012 - core.ac.uk
The energy eigenvalues and eigenfunctions of Schrodinger equation for Modified Poschl-
Teller potential plus trigonometric Rosen-Morse non-central potential are investigated …

Exact solution of the Dirac equation for a Coulomb and scalar potential in the presence of an Aharonov–Bohm and a magnetic monopole fields

VM Villalba - Journal of Mathematical Physics, 1995 - pubs.aip.org
In the present paper the problem of a relativistic Dirac electron is analyzed in the presence
of a combination of a Coulomb field, a 1/r scalar potential, as well as a Dirac magnetic …

Solution of the Dirac equation by separation of variables in spherical coordinates for a large class of non-central electromagnetic potentials

AD Alhaidari - Annals of Physics, 2005 - Elsevier
A systematic and intuitive approach for the separation of variables of the three-dimensional
Dirac equation in spherical coordinates is presented. Using this approach, we consider …

Bound states of the hydrogen atom in the presence of a magnetic monopole field and an Aharonov-Bohm potential

VM Villalba - Physics Letters A, 1994 - Elsevier
In the present article we analyze the bound states of an electron in a Coulomb field when an
Aharonov-Bohm field as well as a magnetic Dirac monopole are present. We solve, via …

Solutions of relativistic wave equations in superpositions of Aharonov–Bohm, magnetic, and electric fields

VG Bagrov, DM Gitman, VB Tlyachev - Journal of Mathematical Physics, 2001 - pubs.aip.org
We present new exact solutions (in 3+ 1 and 2+ 1 dimensions) of relativistic wave equations
(Klein–Gordon and Dirac) in external electromagnetic fields of special form. These fields are …