Aharonov–Bohm Effect and Inequivalent Representations of CCR

2020 ◽  
pp. 147-170
Author(s):  
Asao Arai
Keyword(s):  
Bohm Effect ◽  
Inequivalent Representations ◽  
Aharonov Bohm

Relational Blockworld and Quantum Field Theory

2018 ◽  
Author(s):  
Michael Silberstein ◽  
W.M. Stuckey ◽  
Timothy McDevitt
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Particle Physics ◽  
Classical Field Theory ◽  
Quantum Field ◽  
Gauge Fixing ◽  
Bohm Effect ◽  
Inequivalent Representations ◽  
Aharonov Bohm ◽  
Main Thread

A brief introduction to particle physics and quantum field theory (QFT) is presented in the main thread of chapter 5. The impasse of unification in particle physics is historically reviewed, showing that the dynamical paradigm pervades the development of particle physics and QFT. Thus, as with the conundrums of general relativity and quantum mechanics, dynamical explanation in the mechanical universe is responsible for the impasse regarding unification in particle physics as per QFT. It is shown that RBW’s adynamical approach provides an entirely new view of unification and particle physics. Philosophy of Physics for Chapter 5 uses RBW to resolve the interpretational issues of gauge invariance, gauge fixing, the Aharonov–Bohm effect, regularization, and renormalization, and largely discharges the problems of Poincaré invariance in a graphical approach, inequivalent representations, and Haag’s theorem. Foundational Physics for Chapter 5 shows how classical field theory is related to QFT and introduces gauge fields per QFT.

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

Aptly named Aharonov-Bohm effect has classical analogue, long history

Physics Today ◽  
2010 ◽  
Vol 63 (8) ◽  
pp. 8-10
Author(s):  
Murray Peshkin
Keyword(s):  
Classical Analogue ◽  
Bohm Effect ◽  
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

scholarly journals Excitonic Aharonov-Bohm effect in a two-dimensional quantum ring

2011 ◽  
Vol 84 (23) ◽  
Author(s):  
C. González-Santander ◽  
F. Domínguez-Adame ◽  
R. A. Römer
Keyword(s):  
Quantum Ring ◽  
Two Dimensional ◽  
Bohm Effect ◽  
Aharonov Bohm

Aptly named Aharonov-Bohm effect has classical analogue, long history

Physics Today ◽  
2010 ◽  
Vol 63 (8) ◽  
pp. 8-8 ◽  
Author(s):  
Michael Berry
Keyword(s):  
Classical Analogue ◽  
Bohm Effect ◽  
Aharonov Bohm

Aharonov-Bohm effect in the hopping conductivity of a small ring

1987 ◽  
Vol 36 (17) ◽  
pp. 9326-9328 ◽  
Author(s):  
X. C. Xie ◽  
S. Das Sarma
Keyword(s):  
Small Ring ◽  
Hopping Conductivity ◽  
Bohm Effect ◽  
Aharonov Bohm
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