Exact solution of the curved Dirac equation in polar coordinates: master function approach
type: Item
instance of: scholarly article
title: Exact solution of the curved Dirac equation in polar coordinates: master function approach
zbMATH Open document ID: 1436.81034
DOI: 10.1155/2015/612757
author: N. E. Zubov
published in: Advances in High Energy Physics
publication date: 2015-11-06T00:00:00Z
review text: The Dirac equation for a charged particle in (2+1) dimensions is studied. Using shape-invariant potentials, it is exactly solved for some particular electromagnetic fields.
reviewed by: Mohammad Khorrami
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81U15
Mathematics Subject Classification ID: 81V10
zbMATH DE Number: 6505155
zbMATH Keywords: Dirac equation
zbMATH Keywords: shape-invariant potentials
Wikidata QID: Q59102316
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/612757
OpenAlex ID: W1589798718
cites work: Approximate solutions of the Dirac equation for the Rosen–Morse potential including the spin-orbit centrifugal term
cites work: Generalized nuclear Woods-Saxon potential under relativistic spin symmetry limit
cites work: Dirac equation for generalized Pöschl-Teller scalar and vector potentials and a Coulomb tensor interaction by Nikiforov-Uvarov method
cites work: Exact solution of the Dirac equation for the Yukawa potential with scalar and vector potentials and tensor interaction
cites work: Exact solutions of Dirac equation on a 2D gravitational background
cites work: Spin 0 and spin 1/2 quantum relativistic particles in a constant gravitational field
cites work: Dirac equation in some homogeneous space-times, separation of variables and exact solutions
cites work: Exact solution of Dirac equation in 2+1 dimensional gravity
cites work: Solution of the Dirac equation by separation of variables in spherical coordinates for a large class of non-central electromagnetic potentials
cites work: Separation of variables and exact solution of the Klein–Gordon and Dirac equations in an open universe
cites work: Bound states of the Dirac equation with vector and scalar Eckart potentials
cites work: Bound states of relativistic particles in the generalized symmetrical double-well potential
cites work: Bound states of the Dirac equation for the \(PT\)-symmetric generalized Hulthén potential by the Nikiforov-Uvarov method
cites work: Approximate arbitrary-state solutions of Dirac equation for modified deformed Hylleraas and modified Eckart potentials by the NU method
cites work: Dynamical breaking of supersymmetry
cites work: Derivation of the exact spectra of the Schrödinger equation by means of supersymmetry
cites work: Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
cites work: Another bunch of superpotentials in terms of a master function
cites work: Dirac equation for a spin-$frac12$ charged particle on the 2D sphere S2 and the hyperbolic plane H2
cites work: Solution of the Dirac equation on the homogeneous manifoldSL(2,c)/GL(1,c) in the presence of a magnetic monopole field
cites work: Exact solution of the Dirac equation for a spin-\(\frac 12\) charged particle in two-dimensional and three-dimensional Euclidean spaces with shape invariance symmetry
cites work: Q4001777
cites work: Relativistic extension of shape-invariant potentials
cites work: Solution of the Dirac equation with position-dependent mass in the Coulomb field
cites work: The \((2+1)\) curved Dirac equation in polar coordinates in the presence of electromagnetic field
cites work: Q4440310
cites work: A search for shape-invariant solvable potentials
description: scientific article; zbMATH DE number 6505155