Aharonov-Bohm Effect in Scattering by Point-like Magnetic Fields at Large Separation

2001 ◽  
Vol 2 (2) ◽  
pp. 309-359 ◽  
Author(s):  
H.T. Ito ◽  
H. Tamura
Keyword(s):  
Magnetic Fields ◽  
Large Separation ◽  
Bohm Effect ◽  
Aharonov Bohm

scholarly journals A Non-Local Action for Electrodynamics: Duality Symmetry and the Aharonov-Bohm Effect, Revisited

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1191 ◽  
Author(s):  
Joan Bernabeu ◽  
Jose Navarro-Salas
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Fields ◽  
Harmonic Oscillator ◽  
Local Action ◽  
Action Functional ◽  
Duality Symmetry ◽  
Electric And Magnetic Fields ◽  
Non Local ◽  
Bohm Effect ◽  
Aharonov Bohm

A non-local action functional for electrodynamics depending on the electric and magnetic fields, instead of potentials, has been proposed in the literature. In this work we elaborate and improve this proposal. We also use this formalism to confront the electric-magnetic duality symmetry of the electromagnetic field and the Aharonov–Bohm effect, two subtle aspects of electrodynamics that we examine in a novel way. We show how the former can be derived from the simple harmonic oscillator character of vacuum electrodynamics, while also demonstrating how the magnetic version of the latter naturally arises in an explicitly non-local manner.

Precise period doubling of the Aharonov-Bohm effect in a quantum dot at high magnetic fields

1996 ◽  
Vol 53 (7) ◽  
pp. 3642-3645 ◽  
Author(s):  
J. P. Bird ◽  
K. Ishibashi ◽  
Y. Aoyagi ◽  
T. Sugano
Keyword(s):  
Magnetic Fields ◽  
Quantum Dot ◽  
Period Doubling ◽  
High Magnetic Fields ◽  
Bohm Effect ◽  
Aharonov Bohm

scholarly journals Gauge-Underdetermination and Shades of Locality in the Aharonov–Bohm Effect

2021 ◽  
Vol 51 (2) ◽  
Author(s):  
Ruward A. Mulder
Keyword(s):  
Magnetic Fields ◽  
Equivalence Class ◽  
Explanatory Power ◽  
Finite Speed Of Propagation ◽  
Finite Speed ◽  
Gauge Equivalence ◽  
Electric And Magnetic Fields ◽  
Lorenz Gauge ◽  
Bohm Effect ◽  
Aharonov Bohm

AbstractI address the view that the classical electromagnetic potentials are shown by the Aharonov–Bohm effect to be physically real (which I dub: ‘the potentials view’). I give a historico-philosophical presentation of this view and assess its prospects, more precisely than has so far been done in the literature. Taking the potential as physically real runs prima facie into ‘gauge-underdetermination’: different gauge choices represent different physical states of affairs and hence different theories. This fact is usually not acknowledged in the literature (or in classrooms), neither by proponents nor by opponents of the potentials view. I then illustrate this theme by what I take to be the basic insight of the AB effect for the potentials view, namely that the gauge equivalence class that directly corresponds to the electric and magnetic fields (which I call the Wide Equivalence Class) is too wide, i.e., the Narrow Equivalence Class encodes additional physical degrees of freedom: these only play a distinct role in a multiply-connected space. There is a trade-off between explanatory power and gauge symmetries. On the one hand, this narrower equivalence class gives a local explanation of the AB effect in the sense that the phase is incrementally picked up along the path of the electron. On the other hand, locality is not satisfied in the sense of signal locality, viz. the finite speed of propagation exhibited by electric and magnetic fields. It is therefore intellectually mandatory to seek desiderata that will distinguish even within these narrower equivalence classes, i.e. will prefer some elements of such an equivalence class over others. I consider various formulations of locality, such as Bell locality, local interaction Hamiltonians, and signal locality. I show that Bell locality can only be evaluated if one fixes the gauge freedom completely. Yet, an explanation in terms of signal locality can be accommodated by the Lorenz gauge: the potentials propagate in waves at finite speed. I therefore suggest the Lorenz gauge potentials theory—an even narrower gauge equivalence relation—as the ontology of electrodynamics.

scholarly journals Investigation of the mesoscopic Aharonov–Bohm effect in low magnetic fields

2000 ◽  
Vol 7 (3-4) ◽  
pp. 776-780 ◽  
Author(s):  
A.E Hansen ◽  
S Pedersen ◽  
A Kristensen ◽  
C.B Sørensen ◽  
P.E Lindelof
Keyword(s):  
Magnetic Fields ◽  
Bohm Effect ◽  
Aharonov Bohm

scholarly journals Graphene rings in magnetic fields: Aharonov–Bohm effect and valley splitting

2010 ◽  
Vol 25 (3) ◽  
pp. 034003 ◽  
Author(s):  
J Wurm ◽  
M Wimmer ◽  
H U Baranger ◽  
K Richter
Keyword(s):  
Magnetic Fields ◽  
Valley Splitting ◽  
Bohm Effect ◽  
Aharonov Bohm

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
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