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paper - Center for Ultracold Atoms
paper - Center for Ultracold Atoms

A Signed Particle Formulation of Non
A Signed Particle Formulation of Non

... to replicate the results of more conventional quantum theories. In particular we show that our suggested approach is a natural generalization of the Wigner Monte Carlo method which reconstructs the time-dependent Wigner quasidistribution function and, thus, the corresponding Schrödinger wave-functi ...
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... All that remains is to come up with dynamics for the gauge field alone, the analogue of the Maxwell Lagrangian − 14 (Fµν )2 . It turns out [10] that the key property of the field tensor that generalizes is that −ieFµν = [Dµ , Dν ]. In the non-abelian case have [Dµ , Dν ] = −ig(∂µ Aν − ∂ν Aµ − g 2 [A ...
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... In the rectangle of Fig. 24- 48, the sides have lengths 5.0 cm and 15 cm, q1 = −5μ C , and q2 = +2μ C .With V = 0 at infinity, what is the electric potential at (a) corner A and (b) corner B? (c) How much work is required to move a charge q3 = +3μ C from B to A along a diagonal of the rectangle? (d) ...
Vector Calculus Lab There are two parts to this Lab: Part A : The Hill
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... The eigenvectors |n(R)i are defined up to an arbitrary phase, and there is a priori no particular phase relation between eigenstates corresponding to different values of the parameter R. We make a particular choice for the phase of the eigenstates, simply requiring that |n(R)i varies smoothly with R ...
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Integer Quantum Hall Effect for Bosons

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... in phase space for a quasi-periodic motion, which leads to the SchrSdinger cat states [ 13,151. It is a “global phenomenon” since the quantum state spreads over the whole phase volume allowed by the conservation laws. It reveals itself usually at times longer than the fundamental period of the oscil ...
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... How is the charge distributed on the sphere? The electrons must distribute themselves so the field is zero in the solid part. This means there must be -5 microcoulombs of charge on the inner surface, to stop all the field lines from the +5 microcoulomb point charge. There must then be +2 microcoulom ...
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Wave Packets - Centro de Física Teórica

... Imagine an experiment where at instant t = 0 we measure the position of a quantum particle. The experiment is 100 times repeated. The time starts counting everytime at the beginning of the experiment. One obtains the following result. The particle is never found for x < −4.5, or for x > 5.5, 3 times ...
Full text
Full text

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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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