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arxiv: 1802.01849 · v1 · submitted 2018-02-06 · 🪐 quant-ph · math-ph· math.MP

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Breakdown of Ehrenfest theorem for free particle constrained on a hypersurface

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classification 🪐 quant-ph math-phmath.MP
keywords theoremconstrainedehrenfesthypersurfaceparticlebeliefbreakdownbreaks
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There is a belief that the Ehrenfest theorem holds true universally. We demonstrate that for a classically nonrelativistic particle constrained on an $N-1$ ($N\geq 2$) curved hypersurface embedded in $N$ flat space, the theorem breaks down.

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