Isospectral Local Hamiltonians for Perturbative PT-symmetric Hamiltonians (2305.05814v1)

Published 9 May 2023 in hep-th

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.

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