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arXiv · 2504.06623

The curious case of operators with spectral density increasing as $\Omega(E)\sim e^{\,\mathrm{Const.}\, E^2}$

Erik Aurell·Satya N. Majumdar
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Abstract

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.

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Erik Aurell, Satya N. Majumdar. 2025-04-09. The curious case of operators with spectral density increasing as $\Omega(E)\sim e^{\,\mathrm{Const.}\, E^2}$. https://doi.org/10.1103/5bxn-pt83

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