Special Issue "Applications of Information Entropies in Quantum Science"

A special issue of Quantum Reports (ISSN 2624-960X).

Deadline for manuscript submissions: 31 July 2020.

Special Issue Editor

Prof. Dr. Robin P. Sagar
E-Mail Website
Guest Editor
Departamento de Química, Universidad Autónoma Metropolitana-Iztapalapa, Mexico City, México
Interests: information theory in quantum chemistry; phase space distributions and continuous variable quantum information theory; entropic uncertainty relations; confined quantum systems

Special Issue Information

Dear Colleagues,

Information entropies, discrete or continuous, have been applied to examine the behavior and to quantify the uncertainty in underlying quantum distributions. The key here is the use of uncertainty as a conceptual tool for understanding quantum behavior. It did not escape attention that the Heisenberg uncertainty relation could be formulated in entropic terms, where the sum of the entropies in position and in momentum space is the information carrier. These applications, initiated in the study of atomic and molecular systems, have since migrated to encompass confined quantum systems, quantification of correlations, complexity studies, Bose–Einstein condensates, open quantum systems, design of functionals in density functional theory, and the theory of gravity as emergent phenomena. The discussion that was initiated with Shannon entropies has now been generalized to consider other uncertainty measures. Going forward, one would expect an increasing interaction between the quantum and other communities, to understand and to quantify quantum uncertainties.

The aim of this Special Issue is to catalogue the work that is being done in the application of information entropies to understand all aspects of quantum behavior.

Prof. Dr. Robin P. Sagar
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Quantum Reports is an international peer-reviewed open access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1000 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Information entropies
  • Quantum uncertainties
  • Uncertainty measures
  • Correlation measures

Published Papers (1 paper)

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Research

Open AccessArticle
Shannon Entropy for the Hydrogen Atom Confined by Four Different Potentials
Quantum Reports 2019, 1(2), 208-218; https://doi.org/10.3390/quantum1020018 - 01 Nov 2019
Abstract
Spatial confinements induce localization or delocalization on the electron density in atoms and molecules, and the hydrogen atom is not the exception to these results. In previous works, this system has been confined by an infinite and a finite potential where the wave-function [...] Read more.
Spatial confinements induce localization or delocalization on the electron density in atoms and molecules, and the hydrogen atom is not the exception to these results. In previous works, this system has been confined by an infinite and a finite potential where the wave-function exhibits an exact solution, and, consequently, their Shannon entropies deliver exact results. In this article, the Shannon entropy in configuration space is examined for the hydrogen atom submitted to four different potentials: (a) infinite potential; (b) Coulomb plus harmonic oscillator; (c) constant potential; and (d) dielectric continuum. For all these potentials, the Schrödinger equation admitted an exact analytic solution, and therefore the corresponding electron density has a closed-form. From the study of these confinements, we observed that the Shannon entropy in configuration space is a good indicator of localization and delocalization of the electron density for ground and excited states of the hydrogen atom confined under these circumstances. In particular, the confinement imposed by a parabolic potential induced characteristics that were not presented for other confinements; for example, the kinetic energy exhibited oscillations when the confinement radius is varied and such oscillations coincided with oscillations showed by the Shannon entropy in configuration space. This result indicates that, when the kinetic energy is increased, the Shannon entropy is decreased and vice versa. Full article
(This article belongs to the Special Issue Applications of Information Entropies in Quantum Science)
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