Complex Systems and Biological Physics Seminars

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

by Erik Aurell (KTH)

Europe/Stockholm
Albano 3: 5230 - Xenon (12 seats) (Albano Building 3)

Albano 3: 5230 - Xenon (12 seats)

Albano Building 3

12
Description

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 type 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