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Jul 29, 2020 at 1:26 comment added Willie Wong Yes. If you have a rotationally symmetric Riemannian manifold with a radial potential, so you have a Schrodinger operator $H = -\Delta + V$, then $\langle f, Hf\rangle \geq \langle \bar{f}, H\bar{f}\rangle$ where $\bar{f}$ is the spherical average of $f$.
Jul 29, 2020 at 0:27 history asked user2002 CC BY-SA 4.0