Superoscillations after Berry and Aharonov, Popescu and Rohrlich

by Erik Aurell (KTH)

Thursday 14 Oct 2021, 13:00 → 14:00 Europe/Stockholm

AlbaNova C4:3059 - Café Planck (AlbaNova Main Building)

Superoscillations is the phenomenon that a function with compact support in Fourier domain can oscillate faster than its largest Fourier component, for an arbitrarily long period. I will go through a couple of examples of this phenomenon, all due to Michael Berry.

I will then discuss the recent paper by Aharonov, Popescu and Rohrlich where superoscillations are put into relation to conservation laws in quantum mechanics.

Reference: Y. Aharonov, S. Popescu, D. Rohrlich, "On conservation laws in quantum mechanics", PNAS 118 (1) e1921529118 (2021)