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Compactly supported real scalar potentials realizing the Hardy uncertainty endpoint for Schrödinger evolutions
At the critical Hardy Gaussian weight for the Schrödinger equation in one space dimension on $[0,1]$, the known nonzero scalar example in the weighted $L^2$ class carries a complex-valued potential. Cassano and Fanelli observed that the existence of a real-valued scalar endpoint example was open, an
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