%0 Journal Article %1 WOS:000356547900021 %A Macedo, D X %A Guedes, I %C RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS %D 2015 %I ELSEVIER %J PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS %K Position-dependent Shannon entropy; information; mass} {Fisher %P 211-219 %R 10.1016/j.physa.2015.04.003 %T Fisher information and Shannon entropy of position-dependent mass oscillators %V 434 %X We calculate the Fisher information and the Shannon entropy for three position-dependent mass oscillators. These systems can be seen as deformed harmonic oscillators in the sense that when the deformation parameter (lambda) goes to zero, they are identical to the constant mass harmonic oscillator. For two out of the three oscillators we observe that as lambda increases the position Fisher information (F-x) increases while the momentum Fisher information (F-p) decreases. On the other hand, the Shannon entropy always increases for the three systems with increasing lambda. Discussion about squeezing effect in either position or momentum due to the lambda variation and a relation between the product of Fisher information and the Shannon entropy are also presented. (C) 2015 Elsevier B.V. All rights reserved.

@article{WOS:000356547900021, abstract = {We calculate the Fisher information and the Shannon entropy for three position-dependent mass oscillators. These systems can be seen as deformed harmonic oscillators in the sense that when the deformation parameter (lambda) goes to zero, they are identical to the constant mass harmonic oscillator. For two out of the three oscillators we observe that as lambda increases the position Fisher information (F-x) increases while the momentum Fisher information (F-p) decreases. On the other hand, the Shannon entropy always increases for the three systems with increasing lambda. Discussion about squeezing effect in either position or momentum due to the lambda variation and a relation between the product of Fisher information and the Shannon entropy are also presented. (C) 2015 Elsevier B.V. All rights reserved.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, author = {Macedo, D X and Guedes, I}, biburl = {https://www.bibsonomy.org/bibtex/2ed0134ef511f26f301ce10e615aeda01/ppgfis_ufc_br}, doi = {10.1016/j.physa.2015.04.003}, interhash = {1f2c5183f62b49a30e4be4faab3ea341}, intrahash = {ed0134ef511f26f301ce10e615aeda01}, issn = {0378-4371}, journal = {PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS}, keywords = {Position-dependent Shannon entropy; information; mass} {Fisher}, pages = {211-219}, publisher = {ELSEVIER}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Fisher information and Shannon entropy of position-dependent mass oscillators}, tppubtype = {article}, volume = 434, year = 2015 }