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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/073/02/0299-0306

    • Keywords

       

      Crypto-Hermiticity; Sturm–Schrödinger bound-state problem.

    • Abstract

       

      Sturm–Schrödinger equations $H\psi = EW\psi$ with $H \neq H^{\dagger}$ and $W \neq W^{\dagger} \neq I$ are considered, with a weak point of the theory lying in the purely numerical matrix- inversion form of the double-series definition of the necessary metric operator 𝛩 in the physical Hilbert space of states [M Znojil, J. Phys. A: Math. Theor. 41, 215304 (2008)]. This shortcoming is removed here via an amended, single-series definition of 𝛩.

    • Author Affiliations

       

      Miloslav Znojil1 Hendrik B Geyer2

      1. Nuclear Physics Institute ASCR, 250 68 Řež, Czech Republic
      2. Institute of Theoretical Physics, University of Stellenbosch and Stellenbosch Institute for Advanced Study, 7600 Stellenbosch, South Africa

    • Dates

       
      Published
      August 2009

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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