Spectral equivalences , Bethe Ansatz equations , and reality properties in PT-symmetric quantum mechanics

  title={Spectral equivalences , Bethe Ansatz equations , and reality properties in PT-symmetric quantum mechanics},
  author={P. G. Dorey and Clare Dunning and Roberto Tateo},
The one-dimensional Schrödinger equation for the potential x + αx + l(l+ 1)/x has many interesting properties. For certain values of the parameters l and α the equation is in turn supersymmetric (Witten), quasi-exactly solvable (Turbiner), and it also appears in Lipatov’s approach to high energy QCD. In this paper we signal some further curious features of these theories, namely novel spectral equivalences with particular secondand third-order differential equations. These relationships are… CONTINUE READING
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