Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

The European Physical Journal Plus

On the spin-1/2 Aharonov-Bohm problem for modified Pöschl-Teller potential, physical regularization and self-adjoint extensions

N. Ferkous, A. Boultif, M. Sifour

Published Jun 1, 2019• 5 citations
Publisher
DOI
10.1140/epjp/i2019-12608-0

Related papers

Relativistic treatment of the spin-zero particles subject to the second Poschl-Teller-like potential

Ekele, Aguda, Amos Amos +1 more

中国物理B:英文版•Jan 1, 2013•0 citations

Idealizations, essential self-adjointness, and minimal model explanation in the Aharonov–Bohm effect

Elay Shech

Synthese•May 25, 2017•20 citations

Whirling waves and the Aharonov-Bohm effect for relativistic spinning particles

H. O Girotti, F. Fonseca Romero

The formulation of Berry for the Aharonov-Bohm effect is generalized to the relativistic regime. Then, the problem of finding the self-adjoint extensions of the (2+1)-dimensional Dirac Hamiltonian, in an Aharonov-Bohm background potential, is solved in a novel way. The same treatment also solves the problem of finding the self-adjoint extensions of the Dirac Hamiltonian in an Aharonov-Casher background.

arXiv:hep-th/9612058•Europhysics Letters (EPL)•Jan 20, 1997•6 citations

Effects of rotation and Coulomb-type potential on the spin-1/2 Aharonov–Bohm problem

Márcio M. Cunha, Fabiano M. Andrade, Edilberto Oliveira Silva

arXiv:2112.13452•The European Physical Journal Plus•Feb 3, 2023•5 citations

Effects of quantum deformation on the spin-1/2 Aharonov–Bohm problem

Fabiano M. Andrade, Edilberto Oliveira Silva

arXiv:1212.1944•Physics Letters B•Feb 1, 2013•50 citations

A pragmatic approach to the problem of the self-adjoint extension of Hamilton operators with the Aharonov-Bohm potential

Jürgen Audretsch, Ulf Jasper, Vladimir D. Skarzhinsky

We consider the problem of the self-adjoint extension of Hamilton operators for charged quantum particles in the pure Aharonov-Bohm potential (infinitely thin solenoid). We present a pragmatic approach to the problem based on the orthogonalization of the radial solutions for different quantum numbers. Then we discuss a model of a scalar particle with a magnetic moment which allows us to explain why the self-adjoint extension contains arbitrary parameters and give a physical interpretation.

arXiv:quant-ph/9503006•Journal of Physics A Mathematical and General•Apr 21, 1995•28 citations