Swanson Hamiltonian revisited through the complex scaling method

Abstract

In this work, we study the non-hermitian PT-symmetry Swanson Hamiltonian in the framework of the Complex Scaling Method. We show that by applying this method we can work with eigenfunctions that are square-integrable both in the PT and in the non-PT symmetry phase.

Keywords

• pt-symmetric hamiltonians
• swanson model
• complex scaling method