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| HAL: hal-00623690, version 1 |
| DOI: 10.1103/PhysRevA.83.052107 |
| Detailed view |  Export this paper |
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| Physical Review A 83, 5 (2011) 052107 |
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| Position-momentum uncertainty relation based on power moments of arbitrary order |
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| Steeve Zozor 1Mariela Portesi 2 |
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| (2011) |
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| The position-momentum uncertainty-like inequality based on moments of arbitrary order for d-dimensional quantum systems, which is a generalization of the celebrated Heisenberg formulation of the uncertainty principle, is improved here by use of the Rényi-entropy-based uncertainty relation. The accuracy of the resulting lower bound is physico-computationally analyzed for the two main prototypes in d-dimensional physics: the hydrogenic and oscillator-like systems. |
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| 1: | Grenoble Images Parole Signal Automatique (GIPSA-lab) |
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CNRS : UMR5216 – Université Joseph Fourier - Grenoble I – Université Pierre-Mendès-France - Grenoble II – Université Stendhal - Grenoble III – Institut Polytechnique de Grenoble - Grenoble Institute of Technology |
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| 2: | Instituto de Física La Plata, and Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata (CONICET) |
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Universidad Nacional de la Plata |
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| 3: | Instituto Carlos I de Física Teórica y Computacional |
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Universidad de Granada |
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| 4: | Departamento de Matemática Aplicada |
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Universidad de Granada |
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| 5: | Departamento de Física Atómica, Molecular y Nuclear |
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Universidad de Granada |
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| Subject | : | Physics/Quantum Physics Mathematics/Information Theory Computer Science/Information Theory and Coding |
| hal-00623690, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00623690 | |
| oai:hal.archives-ouvertes.fr:hal-00623690 | |
| From: Steeve Zozor | |
| Submitted on: Wednesday, 14 September 2011 21:24:43 | |
| Updated on: Friday, 16 September 2011 15:38:00 | |
