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7.6 The Millikan Oil Drop Experiment
7.6 The Millikan Oil Drop Experiment

Maxwell`s displacement current revisited
Maxwell`s displacement current revisited

... We can understand Maxwell’s insistence on the reality of the displacement current, on an equal footing with the conduction current, because of his use of the Coulomb gauge ∇ · A = 0 for the potentials. In this gauge one has ‘instantaneous’ Poisson equations for both the scalar and vector potentials, ...


... the elastic mean free path exceeds the length of the wires L0 . While it is very plausible that kL0 1 for at least some of the samples studied in [3] (with L0 ranging from 0:4 to 4 m), the density of electrons in these wires is difficult to estimate. Fortunately, such an estimate is available for ...
Exam I Review - University of Colorado Boulder
Exam I Review - University of Colorado Boulder

... be spread uniformly over the inside surface. No, the total charge on the inside surface does not depend on the net charge of the shell. It only depends on the value of the charge within the cavity inside the shell. Yes, there must be a (non-zero, non-uniform) charge density on the inner surface. Sin ...
Optical methods for studying Hertzian resonances
Optical methods for studying Hertzian resonances

... During my first year of studies at the École Normale Supérieure in Paris, our teacher, Eugène Bloch, introduced us to quantum physics, which at that time was little taught in France. Like he, I was of Alsatian extraction and knew German. He strongly advised me to read Sommerfeld’s admirable book Ato ...
Exam I Review - University of Colorado Boulder
Exam I Review - University of Colorado Boulder

Electromagnetic Induction
Electromagnetic Induction

A summary on Solitons in Quantum field theory
A summary on Solitons in Quantum field theory

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Do we need the Concept of Particle?
Do we need the Concept of Particle?

... part of the measurement device. One must only note that the wavemechanical model has no ambition other than providing a method to calculate the probabilities which are needed at the end of the process. It does not offer a description of the intermediate events between the preparation of an experimen ...
First-order strong-field QED processes in a tightly focused laser beam
First-order strong-field QED processes in a tightly focused laser beam

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The Schrödinger Wave Equation

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Notes on (algebra based) Physics

... 3. Observe that the work done by force of gravity is zero along a closed path. 4. Observe that the force of gravity does not do any work while moving horizontally. An arbitrary path can be broken into vertical and horizontal sections, which corresponds to path independence. ...
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Magnetism and Magnetic Forces

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Effective gravitational interactions of dark matter axions

... In fact, the initial amplitudes of the oscillations fluctuate.  If the PQ phase transition occurs after inflation, it can be different for each QCD horizon.  Even if the PQ phase transition occurs before inflation, there are fluctuations originating from quantum fluctuations. The coherently oscill ...
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Theory of thin-skin eddy-current interaction with surface cracks

Above-threshold ionization in a strong dc electric field
Above-threshold ionization in a strong dc electric field

... photons are absorbed near the nucleus. The radial distance where the photon is absorbed can be estimated from stationary phase arguments: the photon is absorbed at the radius where the radial momentum before the photon is absorbed 共when the electron has energy E and angular momentum L兲 matches that ...
Neutrons Born In Lightning - NobleFuse Corporation For Nuclear
Neutrons Born In Lightning - NobleFuse Corporation For Nuclear

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Mapping of steady-state electric fields and convective drifts in

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Set 3 - ExamResults.net

Quantum Interference 3 Claude Cohen-Tannoudji Scott Lectures Cambridge, March 9
Quantum Interference 3 Claude Cohen-Tannoudji Scott Lectures Cambridge, March 9

... If one measures Sz on the first spin and if one finds +1 (in units of /2), one is sure that Sz is equal to -1 for the second spin. Idem if one measures Sx or Sy (Isotropy of the singlet state). Einstein, Podolsky et Rosen (1935) conclude that the quantum description of phenomena is incomplete. Thei ...
Atom as a “Dressed” Nucleus
Atom as a “Dressed” Nucleus

Classical electrodynamics - University of Guelph Physics
Classical electrodynamics - University of Guelph Physics

... which is analogous to Eq. (1.3.1). But we should not expect field energy to be conserved, and this statement is not correct. The reason is that the field does work on the charge distribution, and this takes energy away from the field. This energy goes to the charge distribution, and total energy is ...
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The quantum vacuum as the origin of the speed of... T E P

... as being fundamental constants and their values, escaping any physical explanation, are commonly assumed to be invariant in space and time. In this paper, we propose a mechanism based upon a “natural” quantum vacuum description which leads to sensible estimations of these three electromagnetic const ...
Canonical equivalence of gravity and acceleration — two-page
Canonical equivalence of gravity and acceleration — two-page

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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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