Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits
Eric J. Heller
Abstract
Eric J. Heller
Abstract
Certain unstable periodic orbits are shown to permanently scar some quantum eigenfunctions as $\ensuremath{\hbar}\ensuremath{\rightarrow}0$, in the sense that extra density surrounds the region of the periodic orbit.
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Certain unstable periodic orbits are shown to permanently scar some quantum eigenfunctions as $\ensuremath{\hbar}\ensuremath{\rightarrow}0$, in the sense that extra density surrounds the region of the periodic orbit.
Key concepts: Eigenfunction, Periodic orbits, Chaotic, Chaotic systems, Physics, Bound state, Hamiltonian (control theory), Hamiltonian system