The confined helium atom: An information–theoretic approach
In this article, we study the helium atom confined in a spherical impenetrable cavity by using informational measures. We use the Ritz variational method to obtain the energies and wave functions of the confined helium atom as a function of the cavity radius r0$$ {r}_0 $$. As trial wave functions we...
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Published in | International journal of quantum chemistry Vol. 124; no. 4 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
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Hoboken, USA
John Wiley & Sons, Inc
15.02.2024
Wiley Subscription Services, Inc |
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Abstract | In this article, we study the helium atom confined in a spherical impenetrable cavity by using informational measures. We use the Ritz variational method to obtain the energies and wave functions of the confined helium atom as a function of the cavity radius r0$$ {r}_0 $$. As trial wave functions we use one uncorrelated function and five explicitly correlated basis sets in Hylleraas coordinates with different degrees of electronic correlation. We computed the Shannon entropy, Fisher information, Kullback–Leibler entropy, Tsallis entropy, disequilibrium and Fisher–Shannon complexity, as a function of r0$$ {r}_0 $$. We found that these entropic measures are sensitive to electronic correlation and can be used to measure it. As expected these entropic measures are less sensitive to electron correlation in the strong confinement regime (r0<1$$ {r}_0<1 $$ a.u.).
Tsallis entropy for the helium atom confined in a spherical impenetrable cavity with electronic correlation. |
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AbstractList | In this article, we study the helium atom confined in a spherical impenetrable cavity by using informational measures. We use the Ritz variational method to obtain the energies and wave functions of the confined helium atom as a function of the cavity radius r0$$ {r}_0 $$. As trial wave functions we use one uncorrelated function and five explicitly correlated basis sets in Hylleraas coordinates with different degrees of electronic correlation. We computed the Shannon entropy, Fisher information, Kullback–Leibler entropy, Tsallis entropy, disequilibrium and Fisher–Shannon complexity, as a function of r0$$ {r}_0 $$. We found that these entropic measures are sensitive to electronic correlation and can be used to measure it. As expected these entropic measures are less sensitive to electron correlation in the strong confinement regime (r0<1$$ {r}_0<1 $$ a.u.). In this article, we study the helium atom confined in a spherical impenetrable cavity by using informational measures. We use the Ritz variational method to obtain the energies and wave functions of the confined helium atom as a function of the cavity radius r0$$ {r}_0 $$. As trial wave functions we use one uncorrelated function and five explicitly correlated basis sets in Hylleraas coordinates with different degrees of electronic correlation. We computed the Shannon entropy, Fisher information, Kullback–Leibler entropy, Tsallis entropy, disequilibrium and Fisher–Shannon complexity, as a function of r0$$ {r}_0 $$. We found that these entropic measures are sensitive to electronic correlation and can be used to measure it. As expected these entropic measures are less sensitive to electron correlation in the strong confinement regime (r0<1$$ {r}_0<1 $$ a.u.). Tsallis entropy for the helium atom confined in a spherical impenetrable cavity with electronic correlation. Abstract In this article, we study the helium atom confined in a spherical impenetrable cavity by using informational measures. We use the Ritz variational method to obtain the energies and wave functions of the confined helium atom as a function of the cavity radius . As trial wave functions we use one uncorrelated function and five explicitly correlated basis sets in Hylleraas coordinates with different degrees of electronic correlation. We computed the Shannon entropy, Fisher information, Kullback–Leibler entropy, Tsallis entropy, disequilibrium and Fisher–Shannon complexity, as a function of . We found that these entropic measures are sensitive to electronic correlation and can be used to measure it. As expected these entropic measures are less sensitive to electron correlation in the strong confinement regime ( a.u.). |
Author | Angulo, J. C. Aquino, N. Estañón, C. R. Montgomery, H. E. |
Author_xml | – sequence: 1 givenname: C. R. surname: Estañón fullname: Estañón, C. R. organization: Universidad Autónoma Metropolitana‐Iztapalapa – sequence: 2 givenname: H. E. surname: Montgomery fullname: Montgomery, H. E. organization: Centre College – sequence: 3 givenname: J. C. surname: Angulo fullname: Angulo, J. C. organization: Universidad de Granada – sequence: 4 givenname: N. orcidid: 0000-0002-3795-0304 surname: Aquino fullname: Aquino, N. email: naa@xanum.uam.mx organization: Universidad Autónoma Metropolitana‐Iztapalapa |
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Snippet | In this article, we study the helium atom confined in a spherical impenetrable cavity by using informational measures. We use the Ritz variational method to... Abstract In this article, we study the helium atom confined in a spherical impenetrable cavity by using informational measures. We use the Ritz variational... |
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SubjectTerms | confined helium atom Correlation disequilibrium Entropy (Information theory) Fisher information Fisher–Shannon complexity Helium atoms Hylleraas coordinates Kullback–Leibler entropy Shannon entropy Tsallis entropy Wave functions |
Title | The confined helium atom: An information–theoretic approach |
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