Gauge invariant nonlocal quantum dynamics of the Aharonov–Bohm effect and how it may be tested

2016 ◽  
Vol 14 (04) ◽  
pp. 1640013
Author(s):  
T. Kaufherr
Keyword(s):  
Quantum Dynamics ◽  
Gauge Invariant ◽  
Nonlocal Quantum ◽  
Bohm Effect ◽  
Aharonov Bohm

The gauge invariant nonlocal quantum dynamics that is responsible for the Aharonov–Bohm (AB) effect is described. It is shown that it may be verified experimentally.

scholarly journals On the nonlocality of the Coulomb gauge external field problem

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645025
Author(s):  
Péter Hraskó
Keyword(s):  
External Field ◽  
Lorentz Force ◽  
Coulomb Gauge ◽  
Field Problem ◽  
Gauge Invariant ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Field Strengths

The apparent nonlocality of the Coulomb gauge external field problem in electrodynamics is illustrated with an example in which nonlocality is especially striking. Explanation of this apparent nonlocal behaviour based on a purely local picture is given. A gauge invariant decomposition of the Lorentz-force into two terms with clear physical meanings is pointed out. Based on this decomposition derivation of the Aharonov–Bohm effect in terms of field strengths alone is given.

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.

scholarly journals Maxwell Electrodynamics in Terms of Physical Potentials

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 915 ◽  
Author(s):  
Parthasarathi Majumdar ◽  
Anarya Ray
Keyword(s):  
Maxwell Equations ◽  
Minkowski Spacetime ◽  
Laplacian Operator ◽  
Charged Scalar ◽  
Gauge Invariant ◽  
Vector Potentials ◽  
Maxwell Electrodynamics ◽  
Gauge Fixing ◽  
Bohm Effect ◽  
Aharonov Bohm

A fully relativistically covariant and manifestly gauge-invariant formulation of classical Maxwell electrodynamics is presented, purely in terms of gauge-invariant potentials without entailing any gauge fixing. We show that the inhomogeneous equations satisfied by the physical scalar and vector potentials (originally discovered by Maxwell) have the same symmetry as the isometry of Minkowski spacetime, thereby reproducing Einstein’s incipient approach leading to his discovery of special relativity as a spacetime symmetry. To arrive at this conclusion, we show how the Maxwell equations for the potentials follow from stationary electromagnetism by replacing the Laplacian operator with the d’Alembertian operator, while making all variables dependent on space and time. We also establish consistency of these equations by deriving them from the standard Maxwell equations for the field strengths, showing that there is a unique projection operator which projects onto the physical potentials. Properties of the physical potentials are elaborated through their iterative Nöther coupling to a charged scalar field leading to the Abelian Higgs model, and through a sketch of the Aharonov–Bohm effect, where dependence of the Aharonov–Bohm phase on the physical vector potential is highlighted.

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
Sign in / Sign up

Export Citation Format

Share Document