The IR-truncated PT-symmetric V = ix3 model and its asymptotic spectral scaling graph


The IR-truncated PT-symmetric V = ix3 model and its asymptotic spectral scaling graph

Günther, U.; Stefani, F.

The PT-symmetric quantum mechanical V = ix3 model over the real line is infra-red (IR) truncated and considered as Sturm-Liouville problem over a finite interval of the real line. Via WKB and Stokes graph analysis, the location of the complex spectral branches of the V = ix3 model as well as those of more general V = -(ix)2n+1 models over finite intervals are obtained. Underlying asymptotic spectral scaling graphs are extracted which are scale-invariant so that the IR completion can be performed. Implications for the V = ix3 model over the full real line are discussed.

Keywords: PT Quantum Mechanics; PT phase transition; spectral branch points; exceptional points; ix3 model; WKB techniques; IR truncation; asymptotic spectral scaling graphs

  • Invited lecture (Conferences)
    Analytic and algebraic methods in physics XV, 10.-13.09.2018, Prague, Czech Republic

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Publ.-Id: 28786