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

Eric J. Heller

doi:10.1103/physrevlett.53.1515

October 15, 1984Physical Review Letters

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

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Key Points

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.

Implication

Shows quantum eigenfunctions scar around periodic orbits, indicating chaotic 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.

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Cite This Study

Eric J. Heller (1984) studied this question.

synapsesocial.com/papers/69da29c5b48bb130d468491c https://doi.org/10.1103/physrevlett.53.1515

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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