Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits
- 15 October 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 53 (16), 1515-1518
- https://doi.org/10.1103/physrevlett.53.1515
Abstract
Certain unstable periodic orbits are shown to permanently scar some quantum eigenfunctions as , in the sense that extra density surrounds the region of the periodic orbit.
Keywords
This publication has 13 references indexed in Scilit:
- The Selberg Trace Formula for PSL(2,ℝ)Lecture Notes in Mathematics, 1983
- Quantizing a classically ergodic system: Sinai's billiard and the KKR methodAnnals of Physics, 1981
- Semiclassical quantum mechanicsCommunications in Mathematical Physics, 1980
- Spectrum and Eigenfunctions for a Hamiltonian with Stochastic TrajectoriesPhysical Review Letters, 1979
- Calculating the bound spectrum by path summation in action-angle variablesJournal of Physics A: General Physics, 1977
- Classical S-matrix limit of wave packet dynamicsThe Journal of Chemical Physics, 1976
- Closed orbits and the regular bound spectrumProceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 1976
- The classical limit for quantum mechanical correlation functionsCommunications in Mathematical Physics, 1974
- Solution of the Schrödinger equation in terms of classical pathsAnnals of Physics, 1974
- Periodic Orbits and Classical Quantization ConditionsJournal of Mathematical Physics, 1971