On the use of multiple-valued wave functions in the analysis of the Aharonov-Bohm effect

1985 ◽  
Vol 42 (7) ◽  
pp. 376-378 ◽  
Author(s):  
M. P. Siverman
Keyword(s):  
Wave Functions ◽  
Bohm Effect ◽  
Aharonov Bohm

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.

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.

Phenomena and devices at the quantum scale and the mesoscale

2017 ◽  
Author(s):  
Sandip Tiwari
Keyword(s):  
Coulomb Blockade ◽  
Secure Communication ◽  
Quantum Hall ◽  
Nanoscale Device ◽  
Self Energy ◽  
Stability Diagrams ◽  
Charge Stability ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Non Locality

Unique nanoscale phenomena arise in quantum and mesoscale properties and there are additional intriguing twists from effects that are classical in origin. In this chapter, these are brought forth through an exploration of quantum computation with the important notions of superposition, entanglement, non-locality, cryptography and secure communication. The quantum mesoscale and implications of nonlocality of potential are discussed through Aharonov-Bohm effect, the quantum Hall effect in its various forms including spin, and these are unified through a topological discussion. Single electron effect as a classical phenomenon with Coulomb blockade including in multiple dot systems where charge stability diagrams may be drawn as phase diagram is discussed, and is also extended to explore the even-odd and Kondo consequences for quantum-dot transport. This brings up the self-energy discussion important to nanoscale device understanding.

scholarly journals Two-flux tunable Aharonov-Bohm effect in a photonic lattice

2021 ◽  
Vol 104 (2) ◽  
Author(s):  
V. Brosco ◽  
L. Pilozzi ◽  
C. Conti
Keyword(s):  
Bohm Effect ◽  
Aharonov Bohm

Aharonov-Bohm-effect induced transparency and reflection in mesoscopic rings side coupled to a quantum wire

2020 ◽  
Vol 116 ◽  
pp. 113770 ◽  
Author(s):  
T. Mrabti ◽  
Z. Labdouti ◽  
A. Mouadili ◽  
E.H. El Boudouti ◽  
B. Djafari-Rouhani
Keyword(s):  
Quantum Wire ◽  
Bohm Effect ◽  
Induced Transparency ◽  
Aharonov Bohm

Comment on ‘‘A critical re‐examination of the Aharonov–Bohm effect’’

1985 ◽  
Vol 53 (8) ◽  
pp. 777-778 ◽  
Author(s):  
A. Burnel ◽  
V. Reekmans
Keyword(s):  
Bohm Effect ◽  
Aharonov Bohm
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