Abstract
The motion of ultracold neutrons in a magnetic field featuring a quadratic inhomogeneity is considered. A partial solution to the stationary Schrödinger equation is found, which leads to a harmonic oscillator equation for the X coordinate. It is demonstrated that, under certain conditions, it is basically possible to provide for a spatial focusing of neutrons with the formation of either a single point focus or two side foci. Dependence of the focusing on the degree of monochromaticity of the neutron beam is considered.
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 28, No. 10, 2002, pp. 1–6.
Original Russian Text Copyright © 2002 by Tchen.
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Tchen, T. The harmonic oscillator equation for ultracold neutrons moving in an inhomogeneous magnetic field. Tech. Phys. Lett. 28, 401–402 (2002). https://doi.org/10.1134/1.1482748
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DOI: https://doi.org/10.1134/1.1482748