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

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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.

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References

  1. E. Merzbacher, Quantum Mechanics, 2nd edn. (Wiley, New York, 1970)

    Google Scholar 

  2. P. Hohenberg, W. Kohn, Phys. Rev. 136, B864 (1964)

    Article  Google Scholar 

  3. R.G. Parr, W. Yang, Density Functional Theory of Atoms and Molecules (Oxford University Press, New York, 1989)

    Google Scholar 

  4. C. Cardenas, P.W. Ayers, A. Cedillo, J. Chem. Phys. 134, 174103 (2011)

    Article  Google Scholar 

  5. P. Bultinck, C. Cardenas, P. Fuentealba, P.A. Johnson, P.W. Ayers, J. Chem. Theory Comput. 9, 4779 (2013)

    Article  CAS  Google Scholar 

  6. H.H. Corzo, H.G. Laguna, R.P. Sagar, J. Math. Chem. 50, 233 (2012)

    Article  CAS  Google Scholar 

  7. C.E. Shannon, Bell Syst. Tech. J. 27, 379 (1948)

    Article  Google Scholar 

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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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Correspondence to Andrés Cedillo.

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Cedillo, A. Comment on “Localization–delocalization phenomena in a cyclic box” by H. H. Corzo, H. G. Laguna, and R. P. Sagar. J Math Chem 55, 1889–1892 (2017). https://doi.org/10.1007/s10910-017-0776-2

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  • DOI: https://doi.org/10.1007/s10910-017-0776-2

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