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Unitary transformation (quantum mechanics) In quantum mechanics, the Schrödinger equation describes how a system changes with time. It does this by relating changes in the state of the system to the energy in the system (given by an operator called the Hamiltonian). Therefore, once the Hamiltonian is known, the time dynamics are in principle ...
A Zippe-type centrifuge [9] has a hollow, cylindrical rotor filled with gaseous uranium hexafluoride (UF 6) A rotating magnetic field at the bottom of the rotor, as used in an electric motor, is able to spin it quickly enough that the UF 6 is thrown towards the outer wall, with the 238 UF 6 enriched in the outermost layer and the 235 UF 6 ...
Uranium tetrafluoride reacts with fluorine, first to give uranium pentafluoride and then volatile UF 6: 2 UF 4 + F 2 → 2 UF 5 2 UF 5 + F 2 → 2 UF 6. UF 4 is reduced by magnesium to give the metal: [2] UF 4 + 2 Mg → U + 2 MgF 2. It is oxidized to UF 5 at room temperature and then, at 100 °C, to the hexafluoride.
More generally, if W is a finite group and the ground ring R is a field of characteristic zero, then the one-parameter Hecke algebra is a semisimple associative algebra over R[q ±1]. Moreover, extending earlier results of Benson and Curtis, George Lusztig provided an explicit isomorphism between the Hecke algebra and the group algebra after ...
New coach and supposed offensive mastermind Jeff Lebby orchestrated a game plan that netted 385 yards of offense, the majority with the game no longer in doubt, and 2.4 yards per carry.
Basis set (chemistry) In theoretical and computational chemistry, a basis set is a set of functions (called basis functions) that is used to represent the electronic wave function in the Hartree–Fock method or density-functional theory in order to turn the partial differential equations of the model into algebraic equations suitable for ...
Gell-Mann matrices. The Gell-Mann matrices, developed by Murray Gell-Mann, are a set of eight linearly independent 3×3 traceless Hermitian matrices used in the study of the strong interaction in particle physics. They span the Lie algebra of the SU (3) group in the defining representation.
Uranium pentafluoride is an intermediate in the conversion of uranium tetrafluoride to volatile UF 6: 2 UF 4 + F 2 → 2 UF 5 2 UF 5 + F 2 → 2 UF 6. It can be produced by reduction of the hexafluoride with carbon monoxide at elevated temperatures. [1] 2 UF 6 + CO → 2 UF 5 + COF 2. Other reducing agents have been examined. [2]