Quantum hamiltonians and prime numbers
Quantum Physics
2009-11-10 v4
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
Keywords
Cite
@article{arxiv.quant-ph/0304139,
title = {Quantum hamiltonians and prime numbers},
author = {H. C. Rosu},
journal= {arXiv preprint arXiv:quant-ph/0304139},
year = {2009}
}
Comments
10 pages, 2 figures, accepted as a Brief Review at MPLA