l - th / 9 90 70 63 v 1 1 5 Ju l 1 99 9 Distribution of Matrix Elements of Random Operators ∗
نویسندگان
چکیده
It is shown that an operator can be defined in the abstract space of a random matrix ensemble whose matrix elements statistical distribution simulates the behavior of the distribution found in real physical systems. It is found that the key quantity that determine these distributions is commutator of the operator with the Hamiltonian. Application to symmetry breaking in quantum many-body system is discussed.
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