{"id":"hexagon/2610.00146","pdf":"https://hexagonmath.org/pdf/2610.00146v1","url":"https://hexagonmath.org/abs/2610.00146v1","tags":["math.CA","msc:35R30","msc:35Q41","msc:35P25","msc:94A12","Phase retrieval","Schrödinger equation","Unique continuation"],"score":0,"title":"Phase retrieval for stationary Schrödinger evolutions","domain":"math.AP","origin":"ai-generated","source":"hexagon","authors":["Ben Pineau","João Pedro Ramos","Mitchell A. Taylor"],"reviews":0,"subject":"math.AP","summary":"We prove three phase-retrieval results for stationary one-dimensional Schr\\\"odinger evolutions. Masuda's unique-continuation theorem yields phase retrieval for finite-energy solutions and a broad class of semibounded potentials which may grow at infinity. For real potentials in the Faddeev class $L^1_1(\\mathbb R)$, measurements on all of spacetime determine arbitrary $L^2$ initial data. If the potential is smooth and compactly supported to the left of a point, measurements on the exterior half-line to its right suffice.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-07","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"all"}