Relation of Gutzwiller Variational State with Matrix Model
A. Koper and M. Mucha
Institute of Physics, A. Mickiewicz University, Matejki 48/49, 60-769 PoznaƄ, Poland
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It is shown that mean values of electron operators in variational Gutzwiller state are equal to mean values of corresponding classical quantities calculated by means of a hermitian matrix model. In cases with small number of electrons in the system this property enables exact calculation of the mean values. In case of large number of electrons a simple and effective Monte Carlo method is formulated (within matrix model).
DOI: 10.12693/APhysPolA.91.391
PACS numbers: 71.10.-w, 71.27.+a, 11.10.-z, 02.50.Ng, 02.70.Lq