Work

Quantum Hamiltonians and Prime Numbers

Year: 2003
Type: article
Abstract: A short review of Schrödinger 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.
Language: English
Open Access status: green
OpenAlex ID: W2081787460
FWCI: 1.767
Cites: 9
Cited by: 24
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