Isospectral Local Hamiltonians for Perturbative PT-symmetric Hamiltonians
High Energy Physics - Theory
2023-05-11 v1
Abstract
A new method to work out the Hermitian correspondence of a PT-symmetric quantum mechanical Hamiltonian is proposed. In contrast to the conventional method, the new method ends with a local Hamiltonian of the form p^2/2+m^2x^2/2+v(x) without any higher-derivative terms. This method is demonstrated in the perturbative regime. Possible extensions to multi-variable quantum mechanics and quantum field theories are discussed.
Keywords
Cite
@article{arxiv.2305.05814,
title = {Isospectral Local Hamiltonians for Perturbative PT-symmetric Hamiltonians},
author = {Yi-Da Li and Qing Wang},
journal= {arXiv preprint arXiv:2305.05814},
year = {2023}
}
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5 pages