The curious case of operators with spectral density increasing as $Ω(E)\sim e^{\,\mathrm{Const.}\, E^2}$
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917267642515456 |
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| author | Aurell, Erik Majumdar, Satya N. |
| author_facet | Aurell, Erik Majumdar, Satya N. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06623 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The curious case of operators with spectral density increasing as $Ω(E)\sim e^{\,\mathrm{Const.}\, E^2}$ Aurell, Erik Majumdar, Satya N. General Relativity and Quantum Cosmology Statistical Mechanics Quantum Physics 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. |
| title | The curious case of operators with spectral density increasing as $Ω(E)\sim e^{\,\mathrm{Const.}\, E^2}$ |
| topic | General Relativity and Quantum Cosmology Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2504.06623 |