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Journal of Mathematical Chemistry

, Volume 55, Issue 10, pp 1889–1892 | Cite as

Comment on “Localization–delocalization phenomena in a cyclic box” by H. H. Corzo, H. G. Laguna, and R. P. Sagar

  • Andrés CedilloEmail author
Letter to the Editor

Abstract

The role of the degeneracy in the computation of the Shannon entropy in a two-dimensional cyclic box is analyzed to complement the discussion started by Corzo et al. (J Math Chem 50:233, 2012). Even though the density and, consequently, the Shannon entropy are ill defined in a degenerate level, it is shown that this information theory descriptor is bounded within a degenerate level of the cyclic box. In addition, it is also shown that bounds are the same in all excited states.

Keywords

Quantum degeneracy Shannon entropy Cyclic box Localization–delocalization 

Notes

Acknowledgements

A Lithuanian State Scholarship from the Education Exchanges Support Foundation was granted to AC. Partial support from CONACYT Grant 237045 and the hospitality of LSPMS and Vilnius University are also acknowledged.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Departamento de QuímicaUniversidad Autónoma Metropolitana-IztapalapaMexicoMexico

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