• Iterative approach for the eigenvalue problems

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    • Keywords


      Formulation of iterative technique for one dimension and applications; formulation of iterative technique for three dimensions and applications.

    • Abstract


      An approximation method based on the iterative technique is developed within the framework of linear delta expansion (LDE) technique for the eigenvalues and eigenfunctions of the one-dimensional and three-dimensional realistic physical problems. This technique allows us to obtain the coefficient in the perturbation series for the eigenfunctions and the eigenvalues directly by knowing the eigenfunctions and the eigenvalues of the unperturbed problems in quantum mechanics. Examples are presented to support this. Hence, the LDE technique can be used for non-perturbative as well as perturbative systems to find approximate solutions of eigenvalue problems.

    • Author Affiliations


      J Datta1 P K Bera2

      1. Department of Mathematics, Visva-Bharati, Santiniketan 731 235, India
      2. Department of Physics, Dumkal College, Basantapur, Dumkal, Murshidabad 742 303, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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