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Lagrange`s Equations
Lagrange`s Equations

Three Quantum Algorithms to Solve 3-SAT
Three Quantum Algorithms to Solve 3-SAT

... n–registers can be represented as order 2n square matrices of complex entries. Usually (but not in this paper) such operators, as well as the corresponding matrices, are required to be unitary. In particular, this implies that the implemented operations are logically reversible (an operation is logi ...
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... Electron transport in one dimension This chapter gives a simple introduction to scattering problems in one dimension and their relation to the conductance of one-dimensional systems at the level of introductory quantum mechanics. Purely one-dimensional systems are of limited practical use, but their ...
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... the most remarkable properties of the Haldane phase is the liberation of fractional spin-1/2 edge states when the chain is doped by non-magnetic impurities.3 The possibility of a similar hidden order has recently been proposed in a different context, by studying the one-dimensional extended BoseHubb ...
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... string is cut during the circular motion, there will no longer be a force acting on the particle. The instant the string is cut, the particle will continue to move in the direction it was moving at the time; that is, the particle will go off at a tangent to the circle. In ordinary conversation there ...
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... A great example of a non-inertial frame, is a rotating frame, like a rotating disk, or the earth. Let us assume that the frame A is inertial, and denote its coordinates by {x, y}, and frame B is rotating with respect to frame A at angular velocity ω. We denote the coordinates of frame B by {x′ , y ′ ...
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... field,38,43 hyperfine structure44 of atoms, and molecules in a timedependent external field45,46 are just a few examples of the versatility of the FEM in quantum mechanical problems today. In the next two sections, we outline the use of finite elements to solve for the Yukawa potential and the appli ...
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... make sure that the field has the correct direction at the time the particle group passes the gap. The speed of the particles increases and the length of the modules change so that the particle’s arrival in the gap is synchronized with the field direction in the gap ...
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... Swiss/French border outside Geneva. Due to switch on in 2007, it will be the world’s most powerful accelerator, able to dig deeper into the fundamental particle properties then ever before. This will be done by colliding beams of particles with each other at very high energies. Two types of particle ...
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Relativistic quantum mechanics

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