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      https://www.ias.ac.in/article/fulltext/pram/054/03/0365-0375

    • Keywords

       

      Maximum entropy ansatz; Padé-type approximants; boundary behaviour

    • Abstract

       

      Some problems associated with the use of the maximum entropy principle, namely, (i) possible divergence of the series that is exponentiated, (ii) input-dependent asymptotic behaviour of the density function resulting from the truncation of the said series, and (iii) non-vanishing of the density function at the boundaries of a finite domain are pointed out. Prescriptions for remedying the aforesaid problems are put forward. Pilot calculations involving the ground quantum eigenenergy states of the quartic oscillator, the particle-in-a-box model, and the classical Maxwellian speed and energy distributions lend credence to our approach.

    • Author Affiliations

       

      K Bandyopadhyay1 K Bhattacharyya2 AK Bhattacharya1

      1. Department of Physics, Burdwan University, Burdwan - 713 104, India
      2. Department of Chemistry, Burdwan University, Burdwan - 713 104, India
    • Dates

       
  • Pramana – Journal of Physics | News

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