On some operators with spectral density increasing as exp [ Const. E*E ]

by Erik Aurell (KTH)

Thursday 29 May 2025, 13:00 → 15:00 Europe/Stockholm

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

Motivated by a putative model of black holes as quantum objects we consider what types of operators would have a corresponding spectrum. We find that there are indeed such operators, but of a rather unusual types, and for which the wave functions are only barely localized. We point out a tension between such almost delocalized states and black holes as compact objects.

The talk is based on joint work with Satya Majumdar, available as arXiv:2504.06623