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            <title xml:lang="en">Approximate Models for Gravitational Memory</title>
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            <funder>PMZ was partially supported by the National Natural Science Foundation of China (Grant No. 12375084)</funder>
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              <p>The large-distance development of a sandwich gravitational wave, consistent with Carroll symmetry, provides us with a surprisingly good analytic approximation of the motion of particles in a wave with Pöschl-Teller profile. The role of the 2nd solution of the Stern-Liouville equation is highlighted. Similar results hold for Gaussian profiles.</p>
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