Metric Operator For The Non-Hermitian Hamiltonian Model and Pseudo-Supersymmetry

Özlem Yeşiltaş; Nafiye Kaplan

doi:10.1088/0031-8949/87/04/045013

Metric Operator For The Non-Hermitian Hamiltonian Model and Pseudo-Supersymmetry

Mathematical Physics 2014-06-13 v1 math.MP

Authors: Özlem Yeşiltaş , Nafiye Kaplan

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Abstract

We have obtained the metric operator $\Theta=\exp T$ for the non-Hermitian Hamiltonian model $H=\omega(a^{\dag}a+1/2)+\alpha(a^{2}-a^{\dag^{2}})$ . We have also found the intertwining operator which connects the Hamiltonian to the adjoint of its pseudo-supersymmetric partner Hamiltonian for the model of hyperbolic Rosen-Morse II potential.

Keywords

metric operator non-Hermitian Hamiltonian pseudo-supersymmetry intertwining operator Rosen-Morse potential PT symmetry

Cite

@article{arxiv.1406.3179,
  title  = {Metric Operator For The Non-Hermitian Hamiltonian Model and Pseudo-Supersymmetry},
  author = {Özlem Yeşiltaş and Nafiye Kaplan},
  journal= {arXiv preprint arXiv:1406.3179},
  year   = {2014}
}

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