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Breakdown of Ehrenfest theorem for free particle constrained on a hypersurface
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Breakdown of Ehrenfest theorem for free particle constrained on a hypersurface
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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