Quantum hamiltonians and prime numbers

Details Quantum hamiltonians and prime numbers Quantum hamiltonians and prime numbers

2003-04-22

arxiv.org/abs/quant-ph/0304139v4

Mod. Phys. Lett. A 18 (2003) 1205-1213

Physics

Quantum Physics

10 pages, 2 figures, accepted as a Brief Review at MPLA

Scientific paper

10.1142/S0217732303011034

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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