Ensemble average of an arbitrary number of pairs of different eigenvalues using Grassmann integration (Q1081946)
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scientific article; zbMATH DE number 3971841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ensemble average of an arbitrary number of pairs of different eigenvalues using Grassmann integration |
scientific article; zbMATH DE number 3971841 |
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Ensemble average of an arbitrary number of pairs of different eigenvalues using Grassmann integration (English)
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1986
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An identity satisfied by the eigenvalues of a real-symmetric matrix and an integral representation of a determinant using Grassmann variables are used to show that the ensemble average of S different pairs of eigenvalues of a GOE is given by \((-1)^ S2^{-S}\pi^{-1/2}\Gamma (S+)\).
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eigenvalues of a real-symmetric matrix
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integral representation of a determinant
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0.83996236
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0.8352591
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0.8300158
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0.82243913
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0.8155603
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0.8095243
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0.8062898
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0.8059311
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