Mathematical Physics Calculation of a Certain Determinant
Résumé
The $n×n$ determinant det[($a+j −i$) ($b+j +i$)] is evaluated. This completes the calculation of the Mellin transform of the probability density of the determinant of a random quaternion self-dual matrix taken from the gaussian symplectic ensemble. The inverse Mellin transform then gives the later probability density itself.
Domaines
Physique mathématique [math-ph]
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