QUANTUM HAMILTONIANS AND PRIME NUMBERS-Reference-Cited by-同舟云学术

QUANTUM HAMILTONIANS AND PRIME NUMBERS

Published:2003-06-14 Issue:18 Volume:18 Page:1205-1213
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

ROSU HARET C.¹

Affiliation:

1. Department of Applied Mathematics, IPICyT, Apdo Postal 3-74 Tangamanga, 78231 San Luis Potosi, Mexico

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732303011034

Reference12 articles.

1. Gravitational Lensing in Spherically Symmetric Static Spacetimes with Centrifugal Force Reversal

2. Theory of elementary excitations in unstable Bose-Einstein condensates and the instability of sonic horizons

3. Bose-Einstein Condensation in a Surface Microtrap

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