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Spherical-Symmetry and Spin Effects on the Uncertainty Measures of Multidimensional Quantum Systems with Central Potentials
dc.contributor.author | Sánchez-Dehesa Moreno-Cid, Jesús | |
dc.date.accessioned | 2021-06-21T10:08:57Z | |
dc.date.available | 2021-06-21T10:08:57Z | |
dc.date.issued | 2021-05-14 | |
dc.identifier.citation | Dehesa, J.S. Spherical-Symmetry and Spin Effects on the Uncertainty Measures of Multidimensional Quantum Systems with Central Potentials. Entropy 2021, 23, 607. [https://doi.org/10.3390/e23050607] | es_ES |
dc.identifier.uri | http://hdl.handle.net/10481/69310 | |
dc.description | This work has been done in the framework of the Grant FIS2017-89349P of the Agencia Estatal de Investigacion (Spain)) and the European Regional Development Fund (FEDER), and the Grant FQM-207 of the Agencia de Innovacion y Desarrollo de Andalucia. | es_ES |
dc.description.abstract | The spreading of the stationary states of the multidimensional single-particle systems with a central potential is quantified by means of Heisenberg-like measures (radial and logarithmic expectation values) and entropy-like quantities (Fisher, Shannon, Renyi) of position and momentum probability densities. Since the potential is assumed to be analytically unknown, these dispersion and information-theoretical measures are given by means of inequality-type relations which are explicitly shown to depend on dimensionality and state's angular hyperquantum numbers. The spherical-symmetry and spin effects on these spreading properties are obtained by use of various integral inequalities (Daubechies-Thakkar, Lieb-Thirring, Redheffer-Weyl, ...) and a variational approach based on the extremization of entropy-like measures. Emphasis is placed on the uncertainty relations, upon which the essential reason of the probabilistic theory of quantum systems relies. | es_ES |
dc.description.sponsorship | Agencia Estatal de Investigacion (Spain) FIS2017-89349P | es_ES |
dc.description.sponsorship | European Commission FIS2017-89349P | es_ES |
dc.description.sponsorship | Agencia de Innovacion y Desarrollo de Andalucia FQM-207 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | Atribución 3.0 España | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.subject | Central potentials | es_ES |
dc.subject | Uncertainty relations | es_ES |
dc.subject | Integral inequalities | es_ES |
dc.subject | Heisenberg-like uncertainty measures | es_ES |
dc.subject | Entropy-like measures | es_ES |
dc.subject | Fisher information | es_ES |
dc.subject | Shannon entropy | es_ES |
dc.subject | Rényi entropies | es_ES |
dc.title | Spherical-Symmetry and Spin Effects on the Uncertainty Measures of Multidimensional Quantum Systems with Central Potentials | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.doi | 10.3390/e23050607 | |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es_ES |