Pseudo-Hermiticity protects the energy-difference conservation in the scattering
H. S. Xu, L. Jin
Abstract
A conservation law that is valid for all non-Hermitian scattering systems is discovered. Applying this conservation law uncovers that the energy-difference conservation is protected by the specific pseudo-Hermiticity.
Topics & Concepts
Conservation lawHermitian matrixPhysicsConservation of energyBar (unit)Symmetry (geometry)Energy conservationScatteringEnergy (signal processing)Mathematical physicsWork (physics)LawQuantum mechanicsMathematicsGeometryElectrical engineeringPolitical scienceMeteorologyEngineeringQuantum Mechanics and Non-Hermitian Physics