The use of quantum damping self-frictional theory in a study of hydrogen-like atomic energies and forces

The use of quantum damping self-frictional theory in a study of hydrogen-like atomic energies and forces

By the use of complete orthogonal sets of ψ(δ∗)-damping self-frictional (DSF) exponential type orbitals (ψ(δ∗)-DSFETO) introduced by one of the authors, the quantum DSF study of hydrogen-like atomic energies and forces are suggested. Here, δ∗=α∗ or δ∗=pl∗, pl∗=2l+2-α∗ and α∗=α-nl∗(z) are the integer...

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Main Authors: Nurşen Seçkin Görgün, İsrafil I. Guseinov, Ramazan Aydın
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379718318230
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spelling doaj-58983d6026c54be7a3c5d670a94f4e7c2020-11-24T22:52:31ZengElsevierResults in Physics2211-37972018-12-0111128130The use of quantum damping self-frictional theory in a study of hydrogen-like atomic energies and forcesNurşen Seçkin Görgün0İsrafil I. Guseinov1Ramazan Aydın2Department of Physics, Faculty of Science, Trakya University, 22030 Edirne, Turkey; Corresponding author.Department of Physics, Faculty of Arts and Sciences, Çanakkale Onsekiz Mart University, 17100 Çanakkale, TurkeyDepartment of Electrical & Electronic Engineering, Atilim University, 06836 Ankara, TurkeyBy the use of complete orthogonal sets of ψ(δ∗)-damping self-frictional (DSF) exponential type orbitals (ψ(δ∗)-DSFETO) introduced by one of the authors, the quantum DSF study of hydrogen-like atomic energies and forces are suggested. Here, δ∗=α∗ or δ∗=pl∗, pl∗=2l+2-α∗ and α∗=α-nl∗(z) are the integer and non-integer DSF quantum numbers which depend on quantities n, l and z, where z=H, He+, Li++, Be+++, B++++, C+++++, N++++++, O+++++++, F++++++++, Ne+++++++++. The average values of potentials, kinetic and total energies and forces of the hydrogen-like atomic systems are calculated. The given values are compared with the results obtained in the non-DSF (NDSF) theory. Keywords: Exponential type orbitals, Damping self-frictional quantum numbers, Damping self-frictional screening parameters, Virial theoremhttp://www.sciencedirect.com/science/article/pii/S2211379718318230
collection DOAJ
language English
format Article
sources DOAJ
author Nurşen Seçkin Görgün
İsrafil I. Guseinov
Ramazan Aydın
spellingShingle Nurşen Seçkin Görgün
İsrafil I. Guseinov
Ramazan Aydın
The use of quantum damping self-frictional theory in a study of hydrogen-like atomic energies and forces
Results in Physics
author_facet Nurşen Seçkin Görgün
İsrafil I. Guseinov
Ramazan Aydın
author_sort Nurşen Seçkin Görgün
title The use of quantum damping self-frictional theory in a study of hydrogen-like atomic energies and forces
title_short The use of quantum damping self-frictional theory in a study of hydrogen-like atomic energies and forces
title_full The use of quantum damping self-frictional theory in a study of hydrogen-like atomic energies and forces
title_fullStr The use of quantum damping self-frictional theory in a study of hydrogen-like atomic energies and forces
title_full_unstemmed The use of quantum damping self-frictional theory in a study of hydrogen-like atomic energies and forces
title_sort use of quantum damping self-frictional theory in a study of hydrogen-like atomic energies and forces
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2018-12-01
description By the use of complete orthogonal sets of ψ(δ∗)-damping self-frictional (DSF) exponential type orbitals (ψ(δ∗)-DSFETO) introduced by one of the authors, the quantum DSF study of hydrogen-like atomic energies and forces are suggested. Here, δ∗=α∗ or δ∗=pl∗, pl∗=2l+2-α∗ and α∗=α-nl∗(z) are the integer and non-integer DSF quantum numbers which depend on quantities n, l and z, where z=H, He+, Li++, Be+++, B++++, C+++++, N++++++, O+++++++, F++++++++, Ne+++++++++. The average values of potentials, kinetic and total energies and forces of the hydrogen-like atomic systems are calculated. The given values are compared with the results obtained in the non-DSF (NDSF) theory. Keywords: Exponential type orbitals, Damping self-frictional quantum numbers, Damping self-frictional screening parameters, Virial theorem
url http://www.sciencedirect.com/science/article/pii/S2211379718318230
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