Structure of eigenfunctions in terms of classical trajectories in an SU(3) schematic shell model

Journal Article · Tue May 01 04:00:00 EDT 1990 · Physical Review, A (General Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevA.41.4614· OSTI ID:6939220

Leboeuf, P ^[1]; Saraceno, M ^[2]

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1. Division de Physique Theorique, Institut de Physique Nucleaire, 91406 Orsay CEDEX, France (FR) Departamento de Fisica, Comision Nacional de Energia Atomica, Av. Libertador 8250, 1429 Buenos Aires (Argentina)
2. Departamento de Fisica, Comision Nacional de Energia Atomica, Av. Libertador 8250, 1429 Buenos Aires (Argentina)

The Husimi distribution for the eigenstates of a classically nonintegrable two-dimensional system with mixed phase space was calculated in order to analyze its structure in terms of classical trajectories. Besides eigenfunctions concentrated on invariant tori or with support on chaotic regions of phase space, we also found others that combine different classical invariant sets (like a stable and an unstable periodic orbit) and families of eigenstates scarred by classically unstable periodic orbits.

• OSTI ID: 6939220
• Journal Information: Physical Review, A (General Physics); (USA), Journal Name: Physical Review, A (General Physics); (USA) Vol. 41:9; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
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657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EIGENFUNCTIONS
EIGENSTATES
FERMIONS
FUNCTIONS
LIE GROUPS
MATHEMATICAL MODELS
MECHANICS
NUCLEAR MODELS
QUANTUM MECHANICS
SEMICLASSICAL APPROXIMATION
SHELL MODELS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TRAJECTORIES