• Average-fluctuation separation in energy levels in many-particle quantum systems with k-body interactions using q-Hermite polynomials

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    • Keywords


      Average-fluctuation separation; k-body embedded Gaussian orthogonal random matrices; many-body interactions; interacting fermions and bosons; q-Hermite; periodogram.

    • Abstract


      Separation between average and fluctuation parts in state density in many-particle quantum systems with k-body interactions, modelled by the k-body embedded Gaussian orthogonal random matrices (EGOE(k)), is demonstrated using the method of normal mode decomposition of the spectra and verified using power spectrum analysis, for both fermions and bosons. The smoothed state density is represented by the q-normal distribution (fqN) (with corrections) which is the weight function for q-Hermite polynomials. As the rank of interaction kincreases, the fluctuations set in with smaller order of corrections in the smooth state density. They are found to be of GOE type, for all k values, for both fermion and boson systems.

    • Author Affiliations


      N D CHAVDA1

      1. Department of Applied Physics, Faculty of Technology and Engineering, The Maharaja Sayajirao University of Baroda, Vadodara 390 001, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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