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- W3213742009 abstract "Given a diagonalizable N × N matrix H, whose non-degenerate spectrum consists of p pairs of complex conjugate eigenvalues and additional N − 2p real eigenvalues, we determine all metrics M, of all possible signatures, with respect to which H is pseudo-hermitian. In particular, we show that any compatible M must have p pairs of opposite eigenvalues in its spectrum so that p is the minimal number of both positive and negative eigenvalues of M. We provide explicit parameterization of the space of all admissible metrics and show that it is topologically a p-dimensional torus tensored with an appropriate power of the group Z2." @default.
- W3213742009 created "2021-11-22" @default.
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- W3213742009 date "2022-01-01" @default.
- W3213742009 modified "2023-10-14" @default.
- W3213742009 title "Which metrics are consistent with a given pseudo-hermitian matrix?" @default.
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- W3213742009 doi "https://doi.org/10.1063/5.0079385" @default.
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