• Supersymmetric quantum mechanics living on topologically non-trivial Riemann surfaces

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      https://www.ias.ac.in/article/fulltext/pram/073/02/0397-0404

    • Keywords

       

      Supersymmetry; Schrödinger equation; complexified coordinates.

    • Abstract

       

      Supersymmetric quantum mechanics is constructed in a new non-Hermitian representation. Firstly, the map between the partner operators $H^{ (\pm)}$ is chosen antilinear. Secondly, both these components of a super-Hamiltonian $\mathcal{H}$ are defined along certain topologically non-trivial complex curves $r^{ (\pm)} (x)$ which spread over several Riemann sheets of the wave function. The non-uniqueness of our choice of the map $\mathcal{T}$ between `tobogganic' partner curves $r^{ (+)} (x)$ and r^{ (−)} (x)$ is emphasized.

    • Author Affiliations

       

      Miloslav Znojil1 Vít Jakubský2

      1. Nuclear Physics Institute ASCR, 250 68 Řež, Czech Republic
      2. Departamento de Física, Universidad de Santiago de Chile, Casilla 307, Santiago 2, Chile
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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