@misc{10481/32711, year = {2006}, url = {http://hdl.handle.net/10481/32711}, 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.}, organization = {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}, keywords = {Quantum mechanics}, keywords = {Measurement theory}, keywords = {Wave equations}, title = {Improvement of the Heisenberg and Fisher-information-based uncertainty relations for D-dimensional central potentials}, doi = {10.1088/1367-2630/8/12/330}, author = {Sánchez Moreno, Pablo and González Férez, María Rosario and Sánchez-Dehesa Moreno-Cid, Jesús}, }