Quantum localization on classical periodic orbits

Journal Article · Sat Jun 01 00:00:00 EDT 1991 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(91)90298-M· OSTI ID:6973155

Leboeuf, P ^[1]; Meredith, D C ^[2]; Saraceno, M ^[3]

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1. Inst. de Physique Nucle'aire, Orsay (France)
2. Univ. of New Hampshire, Durham (United States)
3. Comision Nacional de Energia Atomica, Buenos Aires (Argentina)

Eigenfunctions of classically chaotic systems concentrated on periodic orbits are studied. Individual eigenstates localized on these orbits persist even as the orbit becomes highly unstable. In this regime, the scar intensity is not concentrated on individual eigenstates, but is shared by several of them which cluster together in energy. The average energy of each cluster is found to be in good agreement with semiclassical quantization at all energies. The phase space structure of members of each group of eigenstates is compared to the classical invariant sets associated with the orbits.

• OSTI ID: 6973155
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 208:2; ISSN APNYA; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSICAL MECHANICS
COMPARATIVE EVALUATIONS
EIGENFUNCTIONS
EIGENSTATES
ENERGY
EVALUATION
FUNCTIONS
MATHEMATICAL SPACE
MECHANICS
ORBITS
PHASE SPACE
QUANTIZATION
QUANTUM MECHANICS
SEMICLASSICAL APPROXIMATION
SPACE
STABILITY
STOCHASTIC PROCESSES
WAVE PACKETS