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20172025
most citedOn the physical mechanism of three-wave instabilities -- resonance between positive- and negative-action modes

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quant-ph2019

PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability

Ruili Zhang, Hong Qin, Jianyuan Xiao

We prove that in finite dimensions, a Parity-Time (PT)-symmetric Hamiltonian is necessarily pseudo-Hermitian regardless of whether it is diagonalizable or not. This result is diffe…