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Product Operator - Vanderbilt Center for Structural Biology
Product Operator - Vanderbilt Center for Structural Biology

... 2.3. Density Operator Approach In contrast to semiclassical treatments, the quantum mechanical approach does not deal directly with observable magnetization, but rather with the state of the spin system, irrespective of the observable that will be finally detected. (41-43)The state of the system is ...
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... then – when more sophisticated functionals were developed – in quantum chemistry. At the time it was formulated, however, DFT did not come as a solution to any “fundamental” problem in physics or chemistry (type III research), yet it opened-up new roads that have greatly contributed to the advanceme ...
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Comparison of Birkeland current observations during two magnetic

... two-dimensional distributions of Birkeland currents derived from magnetic field observations by the constellation of Iridium satellites with simulation results of the Lyon-FedderMobarry (LFM) MHD model (Fedder and Lyon, 1995; Fedder et al., 1995a; Mobarry et al., 1996) for two intervals where the or ...
Mechanisms of imprint
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... We have developed a single/double layer model to explain horizontal shifting of measured D-E hysteresis loops 共imprint兲 for ferroelectric thin films. Such phenomenon can be explained by considering three mechanisms or their multiple effects: 共1兲 stress induced by film/electrode lattice mismatch or c ...
Chapter 7 Spin and Spin–Addition
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... by s (”sharp”, l = 0), p (”principal”, l = 1), d (”diffuse”, l = 2), f (”fundamental”, l = 3) and alphabetically from there on, i.e. g,h,i,...; Every azimuthal quantum number is degenerate in the sense that it allows for 2 · (2l + 1) bound electrons, which together are called an orbital. ...
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... Charge is the property associated with matter due to which is produces and experiences electrical and magnetic effects. The study of electrical effects of charge at rest is called electrostatics. The strength of particle’s electric interaction with objects around it depends on its electric charge, w ...
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Get PDF - OSA Publishing

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... band (VB), while the next energy band is called the conduction band (CB). A metal refers to the material with partially filled conduction band. An insulator or a semiconductor however, at 0 K the CB is empty which results in large resistivity. The main difference between an insulator and a semicondu ...
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... Remove the camera and observe the green ring pattern. If the rings breathe (grow and contract) as you move your line of sight left and right and up and down, the alignment needs to be refined. There are three alignment screws on the face of the etalon nearest to the magnet. Tighten and loosen each s ...
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The Effects of Simple Objects on the Electric Field of
The Effects of Simple Objects on the Electric Field of

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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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