1984Physical Review LettersRequires access

Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits

Eric J. Heller

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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.

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Available 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.

Key concepts: Eigenfunction, Periodic orbits, Chaotic, Chaotic systems, Physics, Bound state, Hamiltonian (control theory), Hamiltonian system

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