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.

References in corpus (5)

• Making Sense of Non-Hermitian Hamiltonians
• PT/Non-PT Symmetric and Non-Hermitian Poschl-Teller-Like Solvable Potentials via Nikiforov-Uvarov Method
• Generalized Swanson models and their solutions
• Pseudo supersymmetric partners for the generalized Swanson model
• Competing PT potentials and re-entrant PT symmetric phase for a particle in a box

Cited by in corpus (1)

• A generalized Swanson Hamiltonian in a second-derivative pseudo-supersymmetric framework