Francisco Petitti

Non-Hermitian Resolvent Geometry: Pseudospectral Curvature and the Gauss-Bonnet-Schur Theorem

The classical spectral theorem fails for non-normal operators (A A† ≠ A† A), rendering isolated eigenvalues blind to pseudospectral instabilities, eigenvector non-orthogonality, and extreme perturbation sensitivities in open quantum systems and advective dynamics. We establish a...