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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/32711

Title: Improvement of the Heisenberg and Fisher-information-based uncertainty relations for D-dimensional central potentials
Authors: Sánchez-Moreno, Pablo
González-Férez, Rosario
Sánchez-Dehesa Moreno-Cid, Jesús
Issue Date: 2006
Abstract: The Heisenberg and Fisher-information-based uncertainty relations are improved for stationary states of single-particle systems in a D-dimensional central potential. The improvement increases with the squared orbital hyperangular quantum number. The new uncertainty relations saturate for the isotropic harmonic oscillator wavefunction.
Sponsorship: We are very grateful for partial support to Junta de Andalucía (under the grants FQM- 0207 and FQM-481), Ministerio de Educaci´on y Ciencia (under the project FIS2005-00973), and the European Research Network NeCCA (under the project INTAS-03-51-6637). RGF acknowledges the support of Junta de Andalucía under the program of Retorno de Investigadores a Centros de Investigación Andaluces.
Publisher: Institute of Physics (IOP)
Keywords: Quantum information
Quantum mechanics
Measurement theory
Wave equations
URI: http://hdl.handle.net/10481/32711
ISSN: 1367-2630
Rights : Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
Citation: Sánchez-Moreno, P.; González-Férez, R.; Sánchez-Dehesa, J. Improvement of the Heisenberg and Fisher-information-based uncertainty relations for D-dimensional central potentials. New Journal of Physics, 8: 330 (2006). [http://hdl.handle.net/10481/32711]
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