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

Abstract

We have obtained the metric operator $\Theta =\exp T$ for the non-Hermitian Hamiltonian model $H=\omega (a^{†}a+1/2)+\alpha (a^2-a^{{†}^2})$. 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.

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Cited by in corpus (2)

• New 1-step extension of the Swanson oscillator and superintegrability of its two-dimensional generalization
• A generalized Swanson Hamiltonian in a second-derivative pseudo-supersymmetric framework