Particule de spin-1 dans un potentiel d’Aharonov–Bohm

2007 ◽  
Vol 85 (12) ◽  
pp. 1417-1429 ◽  
Author(s):  
A Boumali
Keyword(s):  
Energy Spectrum ◽  
Wave Functions ◽  
Three Dimensions ◽  
Bohm Potential ◽  
Relativistic Spin ◽  
Bohm Effect ◽  
Aharonov Bohm

In this article we solved the problem of the relativistic spin-1 particle in the presence of the Aharonov–Bohm potential in two and three dimensions, while using the Duffin–Kemmer–Petiau equation. The wave functions as well as the energy spectrum, in both cases, have been obtained. The validity of the Pauli criterion in the Aharonov–Bohm effect is well discussed.

Gravitational Aharonov-Bohm effect in three dimensions

1985 ◽  
Vol 32 (2) ◽  
pp. 504-506 ◽  
Author(s):  
C. J. C. Burges
Keyword(s):  
Three Dimensions ◽  
Bohm Effect ◽  
Aharonov Bohm

AHARONOV–BOHM EFFECT FOR BOUND STATES IN KALUZA–KLEIN THEORY

2000 ◽  
Vol 15 (04) ◽  
pp. 253-258 ◽  
Author(s):  
CLÁUDIO FURTADO ◽  
V. B. BEZERRA ◽  
FERNANDO MORAES
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Scalar Particle ◽  
Wave Functions ◽  
Energy Spectra ◽  
Global Features ◽  
Klein Theory ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Kaluza Klein

Using Kaluza-Klein theory we study the quantum mechanics of a scalar particle in the background of a chiral cosmic string and of a magnetic cosmic string. We show that the wave functions and the energy spectra associated with the particle depend on the global features of those space–times. These dependences represent the analogs of the well-known Aharonov–Bohm effect. This effect appears as the sum of two contributions, one of gravitational origin and the other of electromagnetic origin.

scholarly journals Solution of the κ-Deformed Dirac Equation with Vector and Scalar Interactions in the Context of Spin and Pseudospin Symmetries

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Claudio F. Farias ◽  
Edilberto O. Silva
Keyword(s):  
Dirac Equation ◽  
Pseudospin Symmetry ◽  
Wave Functions ◽  
Linear Potential ◽  
Physical Systems ◽  
Energy Eigenvalues ◽  
Coulomb Type ◽  
Bohm Effect ◽  
Electron Magnetic Moment ◽  
Aharonov Bohm

The deformed Dirac equation invariant under the κ-Poincaré-Hopf quantum algebra in the context of minimal and scalar couplings under spin and pseudospin symmetry limits is considered. The κ-deformed Pauli-Dirac Hamiltonian allows us to study effects of quantum deformation in a class of physical systems, such as a Zeeman-like effect, Aharonov-Bohm effect, and an anomalous-like contribution to the electron magnetic moment, between others. In our analysis, we consider the motion of an electron in a uniform magnetic field and interacting with (i) a planar harmonic oscillator and (ii) a linear potential. We verify that the particular choice of a linear potential induces a Coulomb-type term in the equation of motion. Expressions for the energy eigenvalues and wave functions are determined taking into account both symmetry limits. We verify that the energies and wave functions of the particle are modified by the deformation parameter as well as by the element of spin.

Solution of the Dirac equation with magnetic monopole and pseudoscalar potentials

Open Physics ◽  
2014 ◽  
Vol 12 (4) ◽  
Author(s):  
Sohrab Aghaei ◽  
Alireza Chenaghlou
Keyword(s):  
Energy Spectrum ◽  
Dirac Equation ◽  
Spherical Harmonics ◽  
Coulomb Potential ◽  
Magnetic Monopole ◽  
Separation Of Variables ◽  
Scalar Potential ◽  
Bohm Potential ◽  
Pseudo Scalar ◽  
Aharonov Bohm

AbstractThe Dirac equation in the presence of the Dirac magnetic monopole potential, the Aharonov-Bohm potential, a Coulomb potential and a pseudo-scalar potential, is solved by separation of variables using the spinweighted spherical harmonics. The energy spectrum and the form of the spinor functions are obtained. It is shown that the number j in spin-weighted spherical harmonics must be greater than $$\left| q \right| - \tfrac{1} {2}$$.

scholarly journals Theory of electron energy spectrum and Aharonov-Bohm effect in self-assembledInxGa1−xAsquantum rings in GaAs

2007 ◽  
Vol 76 (23) ◽  
Author(s):  
V. M. Fomin ◽  
V. N. Gladilin ◽  
S. N. Klimin ◽  
J. T. Devreese ◽  
N. A. J. M. Kleemans ◽  
...  
Keyword(s):  
Energy Spectrum ◽  
Electron Energy ◽  
Electron Energy Spectrum ◽  
Bohm Effect ◽  
Aharonov Bohm
Sign in / Sign up

Export Citation Format

Share Document