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Quantum Computation with Molecular Nanomagnets
Quantum Computation with Molecular Nanomagnets

Eric Mazur Practice - Interactive Learning Toolkit
Eric Mazur Practice - Interactive Learning Toolkit

... 5. Separate the forces into x and y components based on the coordinate system you choose. 6. Work through the algebra to solve for the desired electric charge q. Avoid solving for any intermediate quantities unless you have to – you will only make more work for yourself. 7. To evaluate your answer, ...
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... four electrons to form bonds). Replace one of the host atoms by an atom of As, which belongs to column V. Arsenic will give four of its valence electrons to participate in bonding, and give its remaining fifth electron to the conduction band of the crystal. Thus, arsenic is a donor for germanium. Th ...
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1 Basics of Semiconductor and Spin Physics

... four electrons to form bonds). Replace one of the host atoms by an atom of As, which belongs to column V. Arsenic will give four of its valence electrons to participate in bonding, and give its remaining fifth electron to the conduction band of the crystal. Thus, arsenic is a donor for germanium. Th ...
The Dirac Equation and the Superluminal Electron Model
The Dirac Equation and the Superluminal Electron Model

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arXiv:math/0304461v1 [math.DS] 28 Apr 2003

Electric Forces and Fields
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... Principles of Electromechanical Energy Conversion • Why do we study this? – Electromechanical energy conversion theory is the cornerstone for the analysis of electromechanical motion devices. – The theory allows us to express the electromagnetic force or torque in terms of the device variables such ...
Experimental  Study  of the  Hot  Electron
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... and a radial scan at z=3.1 cm. The measurement indicates that the chord averaged hot electron temperature varies from 350 - 400 keV at the peak pressure locations to about 60 keV at the edge. However, in order to invert the chord averaged energy spectra to obtain the radial temperature profile, one ...
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... of the PES, has two negative eigenvalues. This property is seen in applying a normal coordinate analysis to a PES derived, for example, from ab initio or semiempirical molecular orbital calculations. Evaluation of the Hessian matrix at the equilibrium configuration of the molecule yields the force c ...
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A Student`s Guide to Maxwell`s Equations

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Capacitors with Dielectrics

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... decouples the classical and quantum parts of the dynamics and only recognizes the classical part as a Hamiltonian system, whereas Faou and Lubich [10] show that the whole system is Hamiltonian. 1.2. Main Results and Outline. The main contribution of the present paper is to provide a symplectic and H ...
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Growth and decay of current in LR-circuit

- Macquarie University ResearchOnline
- Macquarie University ResearchOnline

... By the mid Eighteenth Century a number of significant advances had occurred in all the sciences which were studied at this time: in Astronomy with the Copernican model of the Solar System supported by observations using telescopes, in Chemistry with the discovery of Oxygen and the atomic theory of D ...
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The mechanical advantage of the magnetosphere

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Three problems from quantum optics
Three problems from quantum optics

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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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