dorsal/arxiv
View SchemaQuantum hamiltonians and prime numbers
| Authors | H. C. Rosu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304139 |
| URL | https://arxiv.org/abs/quant-ph/0304139 |
| DOI | 10.1142/S0217732303011034 |
| Journal | Mod. Phys. Lett. A 18 (2003) 1205-1213 |
Abstract
A short review of Schroedinger hamiltonians for which the spectral problem has been related in the literature to the distribution of the prime numbers is presented here. We notice a possible connection between prime numbers and centrifugal inversions in black holes and suggest that this remarkable link could be directly studied within trapped Bose-Einstein condensates. In addition, when referring to the factorizing operators of Pitkanen and Castro and collaborators, we perform a mathematical extension allowing a more standard supersymmetric approach
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"abstract": "A short review of Schroedinger hamiltonians for which the spectral problem\nhas been related in the literature to the distribution of the prime numbers is\npresented here. We notice a possible connection between prime numbers and\ncentrifugal inversions in black holes and suggest that this remarkable link\ncould be directly studied within trapped Bose-Einstein condensates. In\naddition, when referring to the factorizing operators of Pitkanen and Castro\nand collaborators, we perform a mathematical extension allowing a more standard\nsupersymmetric approach",
"arxiv_id": "quant-ph/0304139",
"authors": [
"H. C. Rosu"
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"doi": "10.1142/S0217732303011034",
"journal_ref": "Mod. Phys. Lett. A 18 (2003) 1205-1213",
"title": "Quantum hamiltonians and prime numbers",
"url": "https://arxiv.org/abs/quant-ph/0304139"
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