Band structure of the Hamiltonian matrix of a real ‘‘chaotic’’ system: The Ce atom

A. A. Gribakina, V. V. Flambaum, G. F. Gribakin

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Properties and structure of the Hamiltonian matrix of a realistic many-body
quantum chaotic system (the rare-earth atom of Ce) are analyzed and compared
with those assumed in band random matrix theories. The sparsity of the matrix
and the behaviour of the mean squared matrix elements ⟨Hij2|i-j|=Δ as function of the distance |i-j| from the diagonal are studied. Fitting ⟨Hij2|i-j|=Δ with the exponent H02 exp(-Δ/b) yields the bandwidths of b=53.5 and 78 for the matrices of Jπ=4+, 4states respectively.
Original languageEnglish
Pages (from-to)5667-5670
JournalPhysical Review E
Volume52
DOIs
Publication statusPublished - 01 Nov 1995

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