Swanson Hamiltonian beyond the non-PT symmetry phase

FERNANDEZ, VIVIANO; RAMÍREZ, ROMINA; REBOIRO, MARTA

(virtual Conference)http://www.ujf.cas.cz/export/sites/ujf/.content/files/AAMP/TentativePrograme.pdf

Workshop; Analytic and algebraic methods in physics XVIII; 2021

In this work, we study the non-hermitian Swanson hamiltonian. We are focused on the analysis of the eigenvalues and eigenfunctions in the region of broken PT-symmetry. We show that by applying the Complex Scaling Method we can work with eigenfunctions that are square-integrable both in the PT and in the non-PT symmetry phase.