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

Özlem Yeşiltaş, Nafiye Kaplan

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.

http://arxiv.org/abs/1406.3179
Mathematical Physics (math-ph)

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