非对易Landau问题中的Kohn条件和奇特Newton-Hooke对称性(英文)

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Kohn’s theorem says that a system of charged particles in a uniform magnetic field can be decomposed into center-of-mass and relative coordinates if the charge-to-mass ratios are the same for all particles.For an isolated system,the possibility of having a center-ofmass decomposition relies on the non-trivial cohomology of the Galilei group.In d≥3space dimensions the latter is the same as the one which generates the central extension by the mass.In the plane the Galilei group also admits an“exotic”central extension, Kohn’s theorem says that a system of charged particles in a uniform magnetic field can be decomposed into center-of-mass and relative coordinates if the charge-to-mass ratios are the same for all particles. For an isolated system, the possibility of having a center-ofmass decomposition relies on the non-trivial cohomology of the Galilei group. In d ≥ 3space dimensions the latter is the same as the one which which generates the central extension by the mass. the plane the Galilei group also admits an “ exotic ”central extension,
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