Breakdown of Ehrenfest theorem for free particle constrained on a hypersurface

Q. Li, Z. Li,X. Wang, Qing Huo Liu

arXiv: Quantum Physics(2018)

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摘要
There is a belief that the Ehrenfest theorem holds true universally. We demonstrate that for a classically nonrelativistic particle constrained on an $N-1$ ($Ngeq 2$) curved hypersurface embedded in $N$ flat space, the theorem breaks down.
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