"Gaussian Orthogonal Ensemble"의 두 판 사이의 차이
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imported>Pythagoras0 |
imported>Pythagoras0 |
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* The Gaussian orthogonal ensemble GOE(n) is described by the Gaussian measure with density | * The Gaussian orthogonal ensemble GOE(n) is described by the Gaussian measure with density | ||
:<math> \frac{1}{Z_{\text{GOE}(n)}} e^{- \frac{n}{4} \mathrm{tr} H^2} </math> | :<math> \frac{1}{Z_{\text{GOE}(n)}} e^{- \frac{n}{4} \mathrm{tr} H^2} </math> | ||
| − | on the space of $n\times n$ real symmetric matrices | + | on the space of $n\times n$ real symmetric matrices $H=(H_{ij})$ |
* Its distribution is invariant under orthogonal conjugation, and it models Hamiltonians with time-reversal symmetry | * Its distribution is invariant under orthogonal conjugation, and it models Hamiltonians with time-reversal symmetry | ||
2016년 6월 29일 (수) 01:37 판
introduction
- The Gaussian orthogonal ensemble GOE(n) is described by the Gaussian measure with density
\[ \frac{1}{Z_{\text{GOE}(n)}} e^{- \frac{n}{4} \mathrm{tr} H^2} \] on the space of $n\times n$ real symmetric matrices $H=(H_{ij})$
- Its distribution is invariant under orthogonal conjugation, and it models Hamiltonians with time-reversal symmetry