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On perturbation theory for the Sturm-Liouville problem, Part II

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 نشر من قبل Vladimir Kalitvianski
 تاريخ النشر 2018
  مجال البحث فيزياء
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I study some possibilities of analytically solving a particular Sturm-Liouville problem with step-wise (piece-constant) coefficients with help of an iterative procedure mentioned in my previous paper (Greens function sum rules). I construct short, simple, but very accurate analytical formulae for calculating the ground state eigenvalue and eigenfunction as well as for calculating the first eigenfunction. I study numerical precision of the obtained approximations together with the perturbation theory results.



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