On two exactly-solvable one-dimensional Hamiltonians with PT symmetry
Francisco M. Fern\'andez
TL;DR
This paper analyzes the spectral behavior of two exactly-solvable one-dimensional PT-symmetric Hamiltonians, identifying eigenvalue coalescence points and discussing perturbation series to understand their spectral properties.
Contribution
It provides an explanation for the spectral behavior of two specific PT-symmetric Hamiltonians, including branch points and perturbation series analysis, advancing understanding of PT-symmetric quantum systems.
Findings
Identification of eigenvalue coalescence points
Analysis of branch points in spectra
Discussion of perturbation series behavior
Abstract
We provide an explanation to the behaviour of the spectra of two exactly-solvable one-dimensional Hamiltonians with PT symmetry proposed earlier. We calculate the branch points at which pairs of eigenvalues coalesce and discuss the perturbation series.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics