Article citationsMore>>

Akhoury, R. and Yao, V.P. (2003) Minimal Length Uncertainty Relation and the Hydrogen Spectrum. Physics Letters B, 572, 37-42.
http://dx.doi.org/10.1016/j.physletb.2003.07.084

has been cited by the following article:

• TITLE: Uncertainty Relations for Some Central Potentials in N-Dimensional Space

  AUTHORS: Sami M. AL-Jaber

  KEYWORDS: Heisenberg Uncertainty Relation, Central Potentials in N-Dimensions, Confined Particle, Hydrogen Atom, Harmonic Oscillator

  JOURNAL NAME: Applied Mathematics, Vol.7 No.6, March 24, 2016

  ABSTRACT: We study the uncertainty relation for three quantum systems in the N-dimensional space by using the virial theorem (VT). It is shown that this relation depends on the energy spectrum of the system as well as on the space dimension N. It is pointed out that the form of lower bound of the inequality, which is governed by the ground state, depends on the system and on the space dimension N. A comparison between our result for the lower bound and recent results, based on information-theoretic approach, is pointed out. We examine and analyze these derived uncertainties for different angular momenta with a special attention made for the large N limit.