• On- and off-shell Jost functions and their integral representations

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      https://www.ias.ac.in/article/fulltext/pram/086/05/0947-0956

    • Keywords

       

      Jost functions; integral representations; Coulomb–Yamaguchi off-shell Jost solutions and functions.

    • Abstract

       

      By judicious exploitation of the transpose operator relation in conjunction with thedifferential equations of special functions of mathematical physics, integral representations of the on- and off-shell Jost functions are derived from the particular integrals of the inhomogeneous Schrödinger equation. Using the particular integral of the inhomogeneous Schrödinger equation, exact analytical expressions for the Coulomb and Coulomb plus Yamaguchi off-shell Jost solutions are constructed in the maximal reduced form. As a case study, the limiting behaviours and the on-shell discontinuities of the Coulomb plus Yamaguchi Jost solutions are verified numerically.

    • Author Affiliations

       

      LAHA U1 BHOI J1

      1. Department of Physics, National Institute of Technology, Jamshedpur 831 014, India
    • Dates

       
  • Pramana – Journal of Physics | News

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