Exact solution for the time dependent non-Hermitian generalized Swanson oscillator

Abstract

We produce an exact solution of the Schrödinger equation for the generalized time dependent Swanson oscillator. The system studied is a non-Hermitian setup characterized by time dependent complex coefficients. The exact solution is obtained by applying two transformations and under the right choice of the relevant parameters. Consequently, the model is reduced to a time independent harmonic oscillator.

10 pages, 1 Figure

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