arXiv:1403.2824 [quant-ph]AbstractReferencesReviewsResources
Position-momentum uncertainty products
Published 2014-03-12, updated 2014-05-01Version 2
We point out two interesting features of position-momentum uncertainty product: $U=\Delta x \Delta p$. We show that two special (non-differentiable) eigenstates of the Schr{\"o}dinger operator with the Dirac Delta potential $[V(x)=-V_0 \delta(x)],V_0>0$, also satisfy the Heisenberg's uncertainty principle by yielding $U> \frac{\hbar}{2}$. One of these eigenstates is a zero-energy and zero-curvature bound state.
Comments: Modified version, no Figures, one Table, 8 pages, to appear in Eur. J. Phys
Categories: quant-ph
Keywords: position-momentum uncertainty product, dirac delta potential, heisenbergs uncertainty principle, zero-curvature bound state, eigenstates
Tags: journal article
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