TY - JOUR

T1 - Information entropy, chaos and complexity of the shell model eigenvectors

AU - Zelevinsky, Vladimir

AU - Horoi, Mihai

AU - Alex Brown, B.

N1 - Funding Information:
The authors would like to acknowledge support from the NSF grant 94-03666. They are thankful to G.F.Bertsch for constructiver emarks.

PY - 1995/5/11

Y1 - 1995/5/11

N2 - The energies and wave functions of stationary many-body states are analyzed to look for the signatures of quantum chaos. Realistic shell model calculations are performed in the JT-scheme for 12 particles in the sd-shell. Local level statistics are in perfect agreement with the GOE predictions whereas the eigenvectors show evidence for non-complete energy dependent chaoticity. The information entropy of individual eigenvectors turns out to be a convenient measure of degree of complexity of individual wave functions. We discuss the representation dependence and the sensitivity to the interaction strength. The exceptional role of the mean field basis is stressed.

AB - The energies and wave functions of stationary many-body states are analyzed to look for the signatures of quantum chaos. Realistic shell model calculations are performed in the JT-scheme for 12 particles in the sd-shell. Local level statistics are in perfect agreement with the GOE predictions whereas the eigenvectors show evidence for non-complete energy dependent chaoticity. The information entropy of individual eigenvectors turns out to be a convenient measure of degree of complexity of individual wave functions. We discuss the representation dependence and the sensitivity to the interaction strength. The exceptional role of the mean field basis is stressed.

UR - http://www.scopus.com/inward/record.url?scp=0000390465&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(95)00324-E

DO - 10.1016/0370-2693(95)00324-E

M3 - Article

AN - SCOPUS:0000390465

VL - 350

SP - 141

EP - 146

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 2

ER -