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    • Reality and non-reality of the spectrum of $\mathcal{PT}$-symmetric operators: Operator-theoretic criteria

      E Caliceti S Graffi

      Volume 73 Issue 2 August 2009 pp 241-249

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/073/02/0241-0249

    • Keywords

       

      Perturbation theory; $\mathcal{PT}$ symmetry; periodic potentials.

    • Abstract

       

      We generalize some recently established criteria for the reality and non-reality of the spectrum of some classes of $\mathcal{PT}$-symmetric Schrödinger operators. The criteria include cases of discrete spectra and continuous ones.

    • Author Affiliations

       

      E Caliceti1 S Graffi1

      1. Dipartimento di Matematica, Università di Bologna, and INFN, Bologna, Italy

    • Dates

       
      Published
      August 2009

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