Metric operator for the non-Hermitian Hamiltonian model and pseudo-super-symmetry

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YEŞİLTAŞ Ö., Kaplan N.

PHYSICA SCRIPTA, vol.87, no.4, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 87 Issue: 4
  • Publication Date: 2013
  • Doi Number: 10.1088/0031-8949/87/04/045013
  • Journal Name: PHYSICA SCRIPTA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Gazi University Affiliated: Yes

Abstract

We have obtained the metric operator Theta = exp T for the non-Hermitian Hamiltonian model H = omega (a(dagger)a + 1/2) + alpha (a(2) - a(dagger 2)). We also found the intertwining operator that connects the Hamiltonian to the adjoint of its pseudo-super-symmetric partner Hamiltonian for the model of the hyperbolic Rosen-Morse II potential.