• Eigenvalue density for ensemble of 2-body random hamiltonians with non-zero mean for matrix elements

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      https://www.ias.ac.in/article/fulltext/pram/011/02/0209-0221

    • Keywords

       

      Random matrices; moments; Monte-Carlo calculations

    • Abstract

       

      We obtain an expression for the ensemble-averaged moments inm-particle space of 2-body random Hamiltonians with same non-zero mean for the matrix elements, in the limit ofN → ∞,m ≫ 2. The eigenvalue density function can then be immediately obtained in terms of the eigenvalue density (a Gaussian whenm ≫ 2) for zero mean ensembles. The results of Monte-Carlo calculations for iso-scalar rotationally invariant 2-body ensembles have also been given.

    • Author Affiliations

       

      V Potbhare1 2 V K B Kota1

      1. Physical Research Laboratory, Ahmedabad - 380 009
      2. Department of Physics, South Gujarat University, Surat - 395 007
    • Dates

       
  • Pramana – Journal of Physics | News

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