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EM_Course_Module_5 - University of Illinois Urbana
EM_Course_Module_5 - University of Illinois Urbana

... Material Media can be classified as (1) Conductors and Semiconductors electric property (2) Dielectrics (3) Magnetic materials – magnetic property Conductors and Semiconductors Conductors are based upon the property of conduction, the phenomenon of drift of free electrons in the material with an ave ...
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Third Year Project Dr Lee Thompson Circular Motion of Particle

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Lecture April 1

... has both a uniform electric field and a uniform magnetic field. In order for the particle to move through this region at a constant velocity, A. the electric and magnetic fields must point in the same direction. B. the electric and magnetic fields must point in opposite directions. C. the electric a ...
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ONE HUNDRED YEARS OF LIGHT QUANTA

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24-1 A New Look at Coulomb`s Law

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Lesson 3 Electric Potential You have no doubt noticed that TV sets

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4. Important theorems in quantum me

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Mathematical Methods of Optimization of Charged Particle Beams

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Answer key – one marks + 2 Physics

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Experiment 14: Electric Fields and Potentials

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Electric Field, Potential Energy and Voltage Multiple Choice

Period doubling cascade in mercury, a quantitative measurement
Period doubling cascade in mercury, a quantitative measurement

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Aharonov–Bohm effect

The Aharonov–Bohm effect, sometimes called the Ehrenberg–Siday–Aharonov–Bohm effect, is a quantum mechanical phenomenon in which an electrically charged particle is affected by an electromagnetic field (E, B), despite being confined to a region in which both the magnetic field B and electric field E are zero. The underlying mechanism is the coupling of the electromagnetic potential with the complex phase of a charged particle's wavefunction, and the Aharonov–Bohm effect is accordingly illustrated by interference experiments.The most commonly described case, sometimes called the Aharonov–Bohm solenoid effect, takes place when the wave function of a charged particle passing around a long solenoid experiences a phase shift as a result of the enclosed magnetic field, despite the magnetic field being negligible in the region through which the particle passes and the particle's wavefunction being negligible inside the solenoid. This phase shift has been observed experimentally. There are also magnetic Aharonov–Bohm effects on bound energies and scattering cross sections, but these cases have not been experimentally tested. An electric Aharonov–Bohm phenomenon was also predicted, in which a charged particle is affected by regions with different electrical potentials but zero electric field, but this has no experimental confirmation yet. A separate ""molecular"" Aharonov–Bohm effect was proposed for nuclear motion in multiply connected regions, but this has been argued to be a different kind of geometric phase as it is ""neither nonlocal nor topological"", depending only on local quantities along the nuclear path.Werner Ehrenberg and Raymond E. Siday first predicted the effect in 1949, and similar effects were later published by Yakir Aharonov and David Bohm in 1959. After publication of the 1959 paper, Bohm was informed of Ehrenberg and Siday's work, which was acknowledged and credited in Bohm and Aharonov's subsequent 1961 paper.Subsequently, the effect was confirmed experimentally by several authors; a general review can be found in Peshkin and Tonomura (1989).
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