3 papers
math.AP2026
Geometric uncertainty principles for Schrödinger evolutions on negatively curved manifolds
Changxing Miao, Yilin Song, Ruihan Zhou
In this paper, we study the uncertainty principle for Schrödinger equations with a bounded time-independent potentials on certain Cartan-Hadamard manifolds endowed with an asympto…
math.AP2026
Magnetic uncertainty in variable geometry
Luca Fanelli, Yilin Song, Ying Wang +2
In this paper, we study Hardy-type uncertainty principles and unique continuation properties for linear covariant Schrodinger equations with variable coefficients in the presence o…
math.AP2026
A Paley-Wiener type uniqueness result for the electromagnetic Schrödinger equation
Yilin Song, Ying Wang, Jiqiang Zheng +1
In this paper, we establish a Paley-Wiener type uncertainty principle for Schrödinger equations with bounded electric and magnetic potentials, \begin{align*} i\partial_tu+Î_Au+V(…