Swanson Hamiltonian: non-PT-symmetry phase
Quantum Physics
2021-12-22 v1 Mathematical Physics
math.MP
Abstract
In this work, we study the non-hermitian Swanson hamiltonian, particularly the non-PT symmetry phase. We use the formalism of Gel'fand triplet to construct the generalized eigenfunctions and the corresponding spectrum. Depending on the region of the parameter model space, we show that the Swanson hamiltonian represents different physical systems, i.e. parabolic barrier, negative mass oscillators. We also discussed the presence of Exceptional Points of infinite order.
Cite
@article{arxiv.2108.01004,
title = {Swanson Hamiltonian: non-PT-symmetry phase},
author = {V. Fernández and R. Ramírez and M. Reboiro},
journal= {arXiv preprint arXiv:2108.01004},
year = {2021}
}
Comments
Highlights: 1) PT-symmetry Swanson Hamiltonian 2) Exceptional Points 3) Gel'fand triplet