Which Metrics Are Consistent with a Given Pseudo-Hermitian Matrix?

@inproceedings{Feinberg2021WhichMA,
  title={Which Metrics Are Consistent with a Given Pseudo-Hermitian Matrix?},
  author={Joshua Feinberg and Miloslav Znojil},
  year={2021}
}
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 parametrization of the space… 
1 Citations

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