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- W2033183764 abstract "We study the reflectivity of Casimir--van der Waals potentials, which behave as $ensuremath{-}{C}_{4}{/r}^{4}$ at large distances and as $ensuremath{-}{C}_{3}{/r}^{3}$ at small distances. The overall behavior of the reflection amplitude R depends crucially on the parameter $ensuremath{rho}=sqrt{2M}{C}_{3}/(ensuremath{Elzxh}sqrt{{C}_{4}})$ which determines the relative importance of the $ensuremath{-}{1/r}^{3}$ and the $ensuremath{-}{1/r}^{4}$ parts of the potential. Near threshold, $E={ensuremath{Elzxh}}^{2}{k}^{2}/(2M)ensuremath{rightarrow}0,$ the reflectivity is given by $|R|ensuremath{sim}mathrm{exp}(ensuremath{-}2bk),$ with b depending on $ensuremath{rho}$ and the shape of the potential at intermediate distances. In the limit of large energies, $mathrm{ln}|R|$ is proportional to $ensuremath{-}{k}^{1/3}$ with a known constant of proportionality depending only on ${C}_{3}.$ For small values of $ensuremath{rho},$ the reflectivity behaves as for a homogeneous $ensuremath{-}{1/r}^{3}$ potential in the whole range of energies and does not depend on ${C}_{4}$ or the shape of the potential beyond the $ensuremath{-}{1/r}^{3}$ region. For moderate and large values of $ensuremath{rho},$ the reflectivity depends on ${C}_{4}$ and on the potential shape. For sufficiently large values of $ensuremath{rho},$ which are ubiquitous in realistic systems, there is a range of energies beyond the near-threshold region, where the reflectivity shows the high-energy behavior appropriate for a homogeneous $ensuremath{-}{1/r}^{4}$ potential, i.e., $mathrm{ln}|R|$ is proportional to $ensuremath{-}sqrt{k}$ with a proportionality constant depending only on ${C}_{4}.$ This conspicuous and model-independent signature of the Casimir effect is illustrated for the reflectivities of neon atoms scattered off a silicon surface, which were recently measured by Shimizu [Phys. Rev. Lett. 86, 987 (2001)]." @default.
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- W2033183764 date "2002-02-27" @default.
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- W2033183764 title "Quantum reflection by Casimir–van der Waals potential tails" @default.
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- W2033183764 doi "https://doi.org/10.1103/physreva.65.032902" @default.
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