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Analytical Evaluation of Two-Center Integrals for Slater-Orbitals Type in Hartree-Fock Formalism on Noncommutative Space

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Abstract

In this paper we have examined the influence of noncommutativity geometry on the two-center integrals for Slater-orbitals type in Hartree-Fock Formalism. Within the perturbation theory, we have evaluated analytically the correction due to noncommutativity in nuclear attraction integrals and electronic interaction integrals over Slater-Orbitals type (STO). It is shown that there is no correction due to the noncommutativity in both nuclear integrals for ns-state and interaction integrals between electrons of this quantum state.

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Authors and Affiliations

  1. Laboratory of Materials Physico-Chemistry, University of Amar Telidji, BP 37G, 03000, Laghouat, Algeria

    Salah Khenchoul & Abdelnasser Guibadj

  2. Laboratory of Materials Physic, University of Amar Telidji, 03000, Laghouat, Algeria

    Brahim Lagoun

  3. Laboratory of Materials Semiconductors and Dielectrics Studies and Development, University of Amar Telidji, 03000, Laghouat, Algeria

    Abderrahmane Cheriet

  4. Laboratory of Pure and Applied Mathematics, University of Amar Telidji, 03000, Laghouat, Algeria

    Razik Belhaoues

Authors
  1. Salah Khenchoul
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  2. Brahim Lagoun
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  3. Abdelnasser Guibadj
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  4. Abderrahmane Cheriet
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  5. Razik Belhaoues
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Correspondence to Salah Khenchoul.

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Khenchoul, S., Lagoun, B., Guibadj, A. et al. Analytical Evaluation of Two-Center Integrals for Slater-Orbitals Type in Hartree-Fock Formalism on Noncommutative Space. Int J Theor Phys 58, 1071–1078 (2019). https://doi.org/10.1007/s10773-018-03998-1

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  • DOI: https://doi.org/10.1007/s10773-018-03998-1

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