Improvement of the Heisenberg and Fisher-information-based uncertainty relations for D-dimensional central potentials

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URI: http://hdl.handle.net/10481/32711
ISSN: 1367-2630
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Autor
Sánchez Moreno, Pablo; González Férez, María Rosario; Sánchez-Dehesa Moreno-Cid, Jesús
Editorial
Institute of Physics (IOP)
Materia
Quantum information
 
Quantum mechanics
 
Measurement theory
 
Wave equations
 
Fecha
2006
Referencia bibliográfica
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]
Patrocinador
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.
Resumen
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.
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