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Chapter 4 (Lecture 6-7) Schrodinger equation for some simple
Chapter 4 (Lecture 6-7) Schrodinger equation for some simple

... The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a heavy box, the particle can move at any speed within the box and it is no more likely to be found at one position than ano ...
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l i l i l Electrical Energy, Potential d C i and Capacitance
l i l i l Electrical Energy, Potential d C i and Capacitance

... has. When he releases the charge, work gets done on the charge which changes g its energy gy from electrical p potential energy gy to kinetic energy. gy Everyy time he brings the charge back, he does work on the charge. If he brought the charge closer to the other object, it would have more electric ...
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... • No effect on neutrals. • Electric fields can accelerate charged particles or repel them. • Magnetic fields can turn a charged particle in a circle ...
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... shown in Figure below. The projectile passes through two coils separated by a distance d. As the projectile passes through each coil a pulse of emf is induced in the coil. The time interval between pulses can be measured accurately with an oscilloscope, and thus the speed can be determined. (a) Sket ...
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electric fields simulation - FacStaff Home Page for CBU

... OBJECTIVE: To "see" the electric field generated by a single charge, and to "see" the electric field in space due to several charges. THEORY: The magnitude of the electric force between two charges can be mathematically described by: F = k q1q2/r² where F is the force, k is a constant that depends o ...
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... Some fields are used to explain “Action at a Distance” • Place a test mass, test charge, or test current at some test point in a field • It feels a force due to the presence of remote sources of the field. • The sources “alter space” at every possible test point. • The forces (vectors) at a test po ...
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... Stoke’s Theorem Stoke’s theorem is a vector identity that defines the transformation of a line integral of a vector around a closed path into a surface integral over the surface bounded by that path. The integrand of the resulting surface integral is the curl of the vector. Given a surface S bounde ...
< 1 ... 352 353 354 355 356 357 358 359 360 ... 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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