Work

$L^p$ bounds for wave operators with critical electromagnetic potentials

Year: 2026
Type: preprint
Abstract: We study the Møller wave operators for scaling critical electromagnetic Hamiltonians in the plane. For smooth transverse magnetic and angular electric potentials, with nonnegative angular operator and magnetic flux outside $\frac12\Z$, we prove that the wave operators relative to $-Δ$ exist, are unitary on $L^2$, and, together with their adjoints, are bounded on every $L^p$, $1
Open Access status: green
OpenAlex ID: W7212070244
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