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E&M Waves
E&M Waves

Electric field of a spherical shell Q
Electric field of a spherical shell Q

19-2 The Magnetic Force on a Charged Object
19-2 The Magnetic Force on a Charged Object

... The right-hand rule for determining the direction of the magnetic force on a moving charge First, make sure you use your right hand! Also, refer to Figure 19.7. • Point the fingers on your right hand in the direction of the charge’s velocity. • While keeping your fingers aligned with the velocity, r ...
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... people like de Broglie, Bohr, Schr¨odinger, Pauli and Heisenberg. However, in its basic form, quantum mechanics is inconsistent with the already known theory of special relativity. There are various ways to see this: for example, the amplitude for a free particle to propagate from ~x0 t o~x is U (t) ...
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... Given two balls in a very long, hollow tube, with length L. The mass of each ball is m, The charge of one ball is −q and the charge of the other one is +q. The ball’s radius is negligible, and the electrostatic attraction between the balls is also negligible. The balls are rigid and can’t pass throu ...
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... "parent" magnetic field, thus countering the increase in flux. If the flux decreases, the induced current's magnetic field has the same direction as the parent magnetic field, thus countering the decrease in flux. Recall that to relate the direction of the electric current and its magnetic field, yo ...
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ν =4/7 - Osaka University

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Atomic and Molecular Physics for Physicists Ben-Gurion University of the Negev

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Electric Fields and Potential

... • Remember that an object has potential energy by virtue of its location within a force field (say a gravitational field) • A charged object can have potential energy by virtue of its location in an electric field • Work is required to push a charged particle against the electric field of a charged ...
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Chapter 23

... A thin glass rod is bent into a quarter of a circle of radius r. A charge +Q is uniformly distributed on the rod. Find the electric field at the center of the quarter circle. +Q ...
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Exercises – Chapter 13

< 1 ... 564 565 566 567 568 569 570 571 572 ... 661 >

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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