Quantum ergodicity for restrictions to hypersurfaces
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math.SP
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quantumeigenstatesergodicergodicityrestrictionsaverageclassicalcondition
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Quantum ergodicity theorem states that for quantum systems with ergodic classical flows, eigenstates are, in average, uniformly distributed on energy surfaces. We show that if N is a hypersurface in the position space satisfying a simple dynamical condition, the restrictions of eigenstates to N are also quantum ergodic.
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