• Many-body Hamiltonian with screening parameter and ionization energy

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      https://www.ias.ac.in/article/fulltext/pram/074/04/0615-0631

    • Keywords

       

      Yukawa-type potential; ionization and excitation energies; many-body Hamiltonian; spin-orbit coupling; energy-level splitting.

    • Abstract

       

      We prove the existence of a Hamiltonian with ionization energy as part of the eigenvalue, which can be used to study strongly correlated matter. This eigenvalue consists of total energy at zero temperature ($E_{0}$) and the ionization energy (𝜉). We show that the existence of this total energy eigenvalue, $E_{0} \pm \xi$, does not violate the Coulombian atomic system. Since there is no equivalent known Hamilton operator that corresponds quantitatively to 𝜉, we employ the screened Coulomb potential operator (Yukawa-type), which is a function of this ionization energy to analytically calculate the screening parameter (𝜎) of a neutral helium atom in the ground state. In addition, we also show that the energy level splitting due to spin-orbit coupling is inversely proportional to 𝜉 eigenvalue, which is also important in the field of spintronics.

    • Author Affiliations

       

      Andrew Das Arulsamy1 2

      1. School of Physics, The University of Sydney, Sydney, New South Wales 2006, Australia
      2. Jožef Stefan Institute, Jamova Cesta 39, SI-1000 Ljubljana, Slovenia
    • Dates

       
  • Pramana – Journal of Physics | News

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