Structure of wavefunctions in (1+2)-body random matrix ensembles

Details Structure of wavefunctions in (1+2)-body random matrix ensembles Structure of wavefunctions in (1+2)-body random matrix ensembles

2001-02-25

arxiv.org/abs/nlin/0102033v1

Phys.Rev. E64 (2001) 016219

Nonlinear Sciences

Chaotic Dynamics

20 pages, 3 figures (1a-c, 2a-b, 3a-c), prepared for the invited talk given in the international conference on `Perspectives i

Scientific paper

10.1103/PhysRevE.64.016219

Abstrtact: Random matrix ensembles defined by a mean-field one-body plus a chaos generating random two-body interaction (called embedded ensembles of (1+2)-body interactions) predict for wavefunctions, in the chaotic domain, an essentially one parameter Gaussian forms for the energy dependence of the number of principal components NPC and the localization length ${\boldmath $l$}_H$ (defined by information entropy), which are two important measures of chaos in finite interacting many particle systems. Numerical embedded ensemble calculations and nuclear shell model results, for NPC and ${\boldmath $l$}_H$, are compared with the theory. These analysis clearly point out that for realistic finite interacting many particle systems, in the chaotic domain, wavefunction structure is given by (1+2)-body embedded random matrix ensembles.

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