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+, 4- states respectively.
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+, 4- states respectively.
| Original language | English |
|---|---|
| Pages (from-to) | 5667-5670 |
| Journal | Physical Review E |
| Volume | 52 |
| DOIs | |
| Publication status | Published - 01 Nov 1995 |