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Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits
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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Citations
Cited by
Chaos and quantum thermalization
Srednicki, M. (1994) · Physical Review E · doi:10.1103/physreve.50.888 · Cited by 3,175
Topology and the cosmic microwave background
Levin, J. (2002) · Physics Reports · doi:10.1016/s0370-1573(02)00018-2 · Cited by 149
A precision test of averaging in AdS/CFT
Cotler, J., & Jensen, K. (2022) · Journal of High Energy Physics · doi:10.1007/jhep11(2022)070 · Cited by 25
Metadata
- Authors
- Heller, E. J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1984-10-15
- Volume
- 53
- Issue
- 16
- Pages
- 1515-1518
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1983467746
- Cited by
- 1,476
- References
- 0
- FWCI
- 14.07
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits. https://app.cochat.ai/papers/10.1103/physrevlett.53.1515
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- Heller, E. J. (1984). Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits. Physical Review Letters. https://doi.org/10.1103/physrevlett.53.1515
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
