Unitary Scattering Protected by Pseudo-Hermiticity
Sign Up to like & getrecommendations! Published in 2022 at "Chinese Physics Letters"
DOI: 10.1088/0256-307x/39/3/037302
Abstract: Hermitian systems possess unitary scattering. However, the Hermiticity is unnecessary for a unitary scattering although the scattering under the influence of non-Hermiticity is mostly non-unitary. Here we prove that the unitary scattering is protected by… read more here.
Keywords: unitary scattering; pseudo hermiticity; scattering protected; hermiticity ... See more keywords
Trace formulas for general Hermitian matrices: unitary scattering approach and periodic orbits on an associated graph
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab5986
Abstract: Two trace formulas for the spectra of arbitrary Hermitian matrices are derived by transforming the given Hermitian matrix $H$ to a unitary analogue. In the first type the unitary matrix is $e^{i(\lambda\II - H)}$ where… read more here.
Keywords: periodic orbits; matrix; trace formulas; unitary scattering ... See more keywords