A Swanson-like Hamiltonian and the inverted harmonic oscillator
A Swanson-like Hamiltonian and the inverted harmonic oscillator
We deduce the eigenvalues and the eigenvectors of a parameter-dependent Hamiltonian $H_\theta$ which is closely related to the Swanson Hamiltonian, and we construct bi-coherent states for it. After that, we show how and in which sense the eigensystem of the Hamiltonian $H$ of the inverted quantum harmonic oscillator can be …