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Chapter 2 Wave Mechanics and the Schrödinger equation
Chapter 2 Wave Mechanics and the Schrödinger equation

... is indeed consistent with the physical interpretation of the wave function that was suggested by Max Born in 1927: |ψ|2 (x) = (ψ ∗ ψ)(x) is the probability density for finding an electron with wave function ψ(x) at a position x ∈ R3 . It is a perplexing but characteristic feature of quantum physics ...
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Chapter 1
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... assumptions   were   not   just   a   matter   of   philosophical   taste,   and   could   be   put   to   experimental  test.  [13]  In  his  own  discussion  of  the  EPR  argument,  Bell  maintained   the   assumption   of   locality   ...
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... possible to find unusual effects arising from many-body interactions or from systems exhibiting strongly coupled material and geometric dispersion 关39–43兴. These numerical studies have been mainly focused in two-dimensional 关13,44–46兴 or simple three-dimensional constant-cross-section geometries 关33 ...
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Singular-phase nano-optics in plasmonic
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... number of spectra acquired at different times, using a large number of spectral points with idea to fit  reflection (transmission) spectra and find the position of the plasmonic resonance with better accuracy,  etc.  These  procedures  can  result  in  a  strong  increase  of  sensitivity  depending ...
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... where the position vector r is measured with respect to the center of the point dipole. The meaning of the delta function in eq. (3) is discussed, for example, in sec. 4.1 of [1]. An important contribution of Faraday and Maxwell to electrodynamics was their emphasis on the electromagnetic fields as p ...


...  The plate, the wire and the terminal are all at the same potential. At this point, there is no field present in the wire and the movement of the electrons ceases. Each plate is now charged, one with +Q and the other with -Q. In its final configuration, the potential difference across the capacitor ...
Measurement Theories in Quantum Mechanics Cortland M.  Setlow March 3, 2006
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... quantum mechanics can say about a system. In determining what quantum mechanics can say about a system, it helps to consider a trivial system. Consider a flask of water in a magnetic field. What can one say about the proton spins of the hydrogen in the water? An aside: what are the limits on what on ...
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... We developed an alternative integrator by taking advantage of the fact that in a uniform magnetic field and zero electric field the particle trajectory has a simple analytic form. Using this method, called Cyclotronic integrator, the time-step is in theory only limited by linear stability considerat ...
Proposed search for an electric-dipole moment using laser
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... spin...which is like an intrinsic angular momentum (as opposed to “orbital”) Attempts to think of a “hard round particle” spinning led to purer forms of nonsense... Thus in addition to it positional DOFs (x, y, z) or (r, θ, φ), the particle has a fourth one called the spin DOF called σ...thus the wa ...
Condensed Matter Physics as a Laboratory for Gravitation and
Condensed Matter Physics as a Laboratory for Gravitation and

... Physics since it is the electromagnetic and not the gravitational interaction that dominates the physics of CM systems. What points in common would then CMP have with Cosmology and the dynamics of objects in a gravitational eld? There is at least one that is very important: topological defects form ...
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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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