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 Aharonov-Bohm Effect for Bound States on the Confinement of a Relativistic Scalar Particle to a Coulomb-Type Potential in Kaluza-Klein Theory

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
E. V. B. Leite ◽  
H. Belich ◽  
K. Bakke
Keyword(s):  
Bound States ◽  
Scalar Potential ◽  
Scalar Particle ◽  
Minkowski Spacetime ◽  
Klein Theory ◽  
Coulomb Type ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Type Potential ◽  
Kaluza Klein

Based on the Kaluza-Klein theory, we study the Aharonov-Bohm effect for bound states for a relativistic scalar particle subject to a Coulomb-type potential. We introduce this scalar potential as a modification of the mass term of the Klein-Gordon equation, and a magnetic flux through the line element of the Minkowski spacetime in five dimensions. Then, we obtain the relativistic bound states solutions and calculate the persistent currents.

Rotating frame effects and potential on a relativistic scalar particle in Kaluza–Klein theory

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Angular Momentum ◽  
Scalar Particle ◽  
Rotating Frame ◽  
Uniform Rotation ◽  
Background Space ◽  
Klein Theory ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Type Potential ◽  
Kaluza Klein

The effects of uniform rotation on a relativistic scalar particle that interacts with a Cornell-type potential in background space–time described by the Kaluza–Klein theory are analyzed and the gravitational analogue of the Aharonov–Bohm effect is observed. Furthermore, linear confinement of a relativistic scalar particle was also discussed. We see a coupling between the angular velocity of the rotating frame [Formula: see text] and the angular momentum eigenvalue [Formula: see text] which shows the Sagnac-type effect.

Effects of the Kaluza–Klein theory on a Klein–Gordon particle with position-dependent mass

2019 ◽  
Vol 34 (38) ◽  
pp. 1950319 ◽  
Author(s):  
E. V. B. Leite ◽  
R. L. L. Vitória ◽  
H. Belich
Keyword(s):  
Quantum Dynamics ◽  
Bound States ◽  
Scalar Particle ◽  
Mass Term ◽  
Klein Theory ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Dependent Mass ◽  
Aharonov Bohm ◽  
Kaluza Klein

Through the Kaluza–Klein theory, we investigate the quantum dynamics of a Klein–Gordon particle under the Aharonov–Bohm effect for bound states, where it is subject to the linear and Coulomb-type central potentials inserted in the Klein–Gordon equation by modification of the mass term. Then, we determine analytically solutions of bound states and the energy profile of the scalar particle in this background.

scholarly journals Generalized KG-oscillator with a uniform magnetic field under the influence of Coulomb-type potentials in cosmic string space-time and Aharonov-Bohm effect

2021 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Cosmic String ◽  
Uniform Magnetic Field ◽  
Bound States ◽  
Space Time ◽  
Vector Potentials ◽  
Klein Gordon ◽  
Relativistic Analogue ◽  
Bohm Effect ◽  
Aharonov Bohm

We solve a generalized Klein-Gordon oscillator (KGO) in the presence of a uniform magnetic field including quantum flux under the effects of a scalar and vector potentials of Coulomb-types in the static cosmic string space-time. We obtain the energy and corresponding eigenfunctions, and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.

scholarly journals Effects of Kaluza-Klein Theory and Potential on a Generalized Klein-Gordon Oscillator in the Cosmic String Space-Time

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Scalar Potential ◽  
Space Time ◽  
Relativistic Energy ◽  
Klein Theory ◽  
Klein Gordon ◽  
Coulomb Type ◽  
Relativistic Analogue ◽  
Kaluza Klein

In this paper, we solve a generalized Klein-Gordon oscillator in the cosmic string space-time with a scalar potential of Cornell-type within the Kaluza-Klein theory and obtain the relativistic energy eigenvalues and eigenfunctions. We extend this analysis by replacing the Cornell-type with Coulomb-type potential in the magnetic cosmic string space-time and analyze a relativistic analogue of the Aharonov-Bohm effect for bound states.

scholarly journals Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza–Klein theory and Aharonov–Bohm effect

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Dimensional Space ◽  
Topological Defects ◽  
Space Time ◽  
Confining Potential ◽  
Klein Theory ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Kaluza Klein

AbstractIn this paper, we solve generalized KG-oscillator interacts with a uniform magnetic field in five-dimensional space-time background produced by topological defects under a linear confining potential using the Kaluza–Klein theory. We solve this equation and analyze an analogue of the Aharonov–Bohm effect for bound states. We observe that the energy level for each radial mode depend on the global parameters characterizing the space-time, the confining potential, and the magnetic field which shows a quantum effect.

QUANTUM EFFECTS DUE TO A MAGNETIC FLUX ASSOCIATED TO A TOPOLOGICAL DEFECT

2005 ◽  
Vol 20 (26) ◽  
pp. 6051-6064 ◽  
Author(s):  
GEUSA DE A. MARQUES ◽  
V. B. BEZERRA ◽  
C. FURTADO ◽  
F. MORAES
Keyword(s):  
Magnetic Field ◽  
Wave Function ◽  
Magnetic Flux ◽  
Applied Magnetic Field ◽  
Bound States ◽  
Topological Defect ◽  
Energy Spectra ◽  
Quantum Scattering ◽  
Bohm Effect ◽  
Aharonov Bohm

We investigate the quantum scattering of an electron by a topological defect called dispiration, with an externally applied magnetic field along its axis. The Aharonov–Bohm effect for bound states is analyzed and it is demonstrated that the wave function and the energy spectra associated with the particle depend on the features of the dispiration as well as on the magnetic flux. We also calculate Berry's phase associated to the dynamics of electrons in this background.

scholarly journals Klein-Gordon Oscillator in the Presence of External Fields in a Cosmic Space-Time with a Space-Like Dislocation and Aharonov-Bohm Effect

2020 ◽  
Vol 2020 ◽  
pp. 1-10 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Bound States ◽  
Scalar Potential ◽  
Energy Eigenvalue ◽  
Scalar Particle ◽  
Space Time ◽  
Relativistic Energy ◽  
External Fields ◽  
Klein Gordon ◽  
Bohm Effect ◽  
Aharonov Bohm

In this paper, we study interactions of a scalar particle with electromagnetic potential in the background space-time generated by a cosmic string with a space-like dislocation. We solve the Klein-Gordon oscillator in the presence of external fields including an internal magnetic flux field and analyze the analogue effect to the Aharonov-Bohm effect for bound states. We extend this analysis subject to a Cornell-type scalar potential and observe the effects on the relativistic energy eigenvalue and eigenfunction.

Klein–Gordon oscillator subject to a Cornell-type potential in the rotating cosmic string space-time and Aharonov–Bohm effect

2020 ◽  
Vol 17 (09) ◽  
pp. 2050138
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Space Time ◽  
Relativistic Energy ◽  
Vector Potentials ◽  
Background Space ◽  
Klein Gordon ◽  
Relativistic Analogue ◽  
Bohm Effect ◽  
Aharonov Bohm

Klein–Gordon oscillator in the background space-time generated by a rotating cosmic string subject to a Cornell-type scalar and Coulomb-type vector potentials including an internal magnetic flux is studied. We obtain the relativistic energy eigenvalues and the corresponding eigenfunctions and analyze a relativistic analogue of the Aharonov–Bohm effect for bound states.

Aharonov–Bohm effect for bound states on spin-0 scalar charged particles in a rotating cosmic string space–time with Coulomb potentials

2020 ◽  
Vol 35 (20) ◽  
pp. 2050101
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic String ◽  
Quantum Dynamics ◽  
Bound States ◽  
Relativistic Quantum ◽  
Charged Particles ◽  
Topological Defects ◽  
Space Time ◽  
Vector Potentials ◽  
Bohm Effect ◽  
Aharonov Bohm

In this paper, we study the relativistic quantum dynamics of spin-0 scalar charged particles with a magnetic quantum flux produced by topological defects in a rotating cosmic string space–time. We solve the Klein–Gordon equation subject to Coulomb-type scalar and vector potentials in the considered framework and obtain the energy eigenvalues and eigenfunctions and analyze the analogue effect to Aharonov–Bohm effect for bound states.

Sign in / Sign up

Export Citation Format

Share Document