Two-dimensional confined hydrogen: An entropy and complexity approach |
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| Authors: | Carlos R Estañón Norberto Aquino David Puertas-Centeno Jesus S Dehesa |
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| Institution: | 1. Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, CDMX, Mexico;2. Departamento de Física, Universidad Autónoma Metropolitana de Iztapalapa, CDMX, Mexico;3. Departamento de Matemática Aplicada, Universidad Rey Juan Carlos, Madrid, Spain;4. Departamento de Física Atómica, Molecular y Nuclear, Universidad de Granada, Granada, Spain |
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| Abstract: | The position and momentum spreading of the electron distribution of the two-dimensional confined hydrogenic atom, which is a basic prototype of the general multidimensional confined quantum systems, is numerically studied in terms of the confinement radius for the 1s, 2s, 2p, and 3d quantum states by means of the main entropy and complexity information-theoretical measures. First, the Shannon entropy and the Fisher information, as well as the associated uncertainty relations, are computed and discussed. Then, the Fisher-Shannon, lopezruiz-mancini-alvet, and LMC-Rényi complexity measures are examined and mutually compared. We have found that these entropy and complexity quantities reflect the rich properties of the electron confinement extent in the two conjugated spaces. |
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| Keywords: | Fisher information of the two-dimensional confined hydrogen atom Fisher-Shannon complexity measure of the two-dimensional confined hydrogen atom LMC-Rényi complexity measure of the two-dimensional confined hydrogen atom Shannon entropy of the two-dimensional confined hydrogen atom two-dimensional confined hydrogen atom |
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