• Differential equation approach for the energy average of the scattering function

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    • Keywords


      Average cross-section; differential equation technique; transmission coefficient

    • Abstract


      An exact differential equation is given to evaluate the energy average of the scattering function. The advantage of the differential equation as compared to the earlier methods based on series expansion is that one has to evaluate only single sums over the complex poles of the S-matrix. Using Wigner’s semicircle law for the distribution of the real parts of the poles of the scattering matrix, the earlier expression for the energy average of the scattering function is rederived.

    • Author Affiliations


      Nazakat Ullah1

      1. Tata Institute of Fundamental Research, Bombay - 400005
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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