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Mechanics - Specimen Units and Mark Schemes
Mechanics - Specimen Units and Mark Schemes

... Three particles, A, B and C lie in on a straight line on a smooth horizontal surface. The masses of the particles are 2 kg, 3 kg and m kg respectively. (a) The particle A is set into motion, so that it moves towards B with speed 6 m s-1. When it collides with B the two particles coalesce and move wi ...
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... Imagine two spins (a ‘dimer’) coupled through a Heisenberg interaction4: H = −Jσ•σ, where H is the hamiltonian, σ denotes a Pauli spin matrix and J is the strength of coupling. I now use the hamiltonian as an entanglement witness. It is easy to see that the average value of H with respect to disenta ...
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Magnetic Resonance Imaging - I, Basic Concepts

... To design MR-imaging experiments we need to somehow select time dependent fields B 1 (x; t) to manipulate the arrangement of the spins. This turns out to be a problem in classical inverse scattering theory, which was solved, in principle, in the early 1970s by Zhaharov and Sabat. Much earlier than t ...
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...  Till date, proton and electron are the only experimentally discovered stable massive particles. Hence, emission of neutrino in neutron formation is irrelevant, it cannot be directly detected. [5] R. M. Santilli, Hadronic Mathematics, Mechanics and Chemistry, Volume I-V, Palm Harbor, U.S.A., Intern ...
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... on each particle. For simplicity, we consider a one-dimensional system here, though the arguments can be generalized straightforwardly to higher dimensions. There are two steps to the argument. The first step is to assume that the dilute gas of Brownian particles suspended in a solvent behaves as an ...
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... reaches the value p: This is either a smooth transition for t . 1yp or a first-order jump for t , 1yp (determined by free-energy considerations). The existence of a phase transition even for nonzero values of tyG is an artifact of the SBMFT approximation: JcSB should actually be interpreted as an es ...
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Relativistic quantum mechanics

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