The research aims to explore how certain unstable periodic orbits affect quantum eigenfunctions in chaotic systems.
Analysis of bound-state eigenfunctions in the context of classical chaotic Hamiltonian systems.
Examination of the impact of unstable periodic orbits on quantum density across parameter limits.
Eigenfunctions demonstrate increased density around specific periodic orbits as h approaches zero.
Shows that certain periodic orbits lead to permanent scars, influencing quantum mechanical behavior.
Abstract
Certain unstable periodic orbits are shown to permanently scar some quantum eigenfunctions as 0, in the sense that extra density surrounds the region of the periodic orbit.