%0 Journal Article %T Mathematical Physics Calculation of a Certain Determinant %+ Service de Physique Théorique (SPhT) %+ Chinese Academy of Sciences [Beijing] (CAS) %A Mehta, Madan, Lal %A Wang, Rong %< avec comité de lecture %@ 0010-3616 %J Communications in Mathematical Physics %I Springer Verlag %V 214 %P 227 - 232 %8 2000 %D 2000 %R 10.1007/s002200000260 %Z Physics [physics]/Mathematical Physics [math-ph]Journal articles %X 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. %G English %2 https://cea.hal.science/cea-02904796/document %2 https://cea.hal.science/cea-02904796/file/MehWa.pdf %L cea-02904796 %U https://cea.hal.science/cea-02904796 %~ CEA %~ CNRS %~ DSM-IPHT %~ TDS-MACS %~ CEA-DRF