Swanson Hamiltonian revisited through the complex scaling method

Marta Reboiro; Romina Ramírez; Viviano Fernández

doi:10.14311/AP.2022.62.0157

Authors

Marta Reboiro University of La Plata, Faculty of Exact Science, Department of Physics, 49 & 115, 1900 La Plata, Argentine; CONICET, Institute of Physics of La Plata. 63 & diag. 113, 1900 La Plata, Argentine
Romina Ramírez University of La Plata, Faculty of Exact Science, Department of Mathematics, 50 & 115, 1900 La Plata, Argentine; CONICET, Institute Argentine of Mathematics. Saavedra 15 3º, C1083ACA Buenos Aires, Argentine
Viviano Fernández University of La Plata, Faculty of Exact Science, Department of Mathematics, 50 & 115, 1900 La Plata, Argentine

DOI:

https://doi.org/10.14311/AP.2022.62.0157

Keywords:

PT-symmetric Hamiltonians, Swanson model, 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.

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References

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