Distribution of matrix elements of random operators

Details Distribution of matrix elements of random operators Distribution of matrix elements of random operators

1999-07-15

arxiv.org/abs/nucl-th/9907063v1

Physics

Nuclear Physics

Nuclear Theory

7 pages

Scientific paper

It is shown that an operator can be defined in the abstract space of random matrices ensembles whose matrix elements statistical distribution simulates the behavior of the distribution found in real physical systems. It is found that the key quantity that determines these distribution is the commutator of the operator with the Hamiltonian. Application to symmetry breaking in quantum many-body systems is discussed.

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