Skip to Main content Skip to Navigation
Journal articles

Mathematical Physics Calculation of a Certain Determinant

Abstract : 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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [4 references]  Display  Hide  Download

https://hal-cea.archives-ouvertes.fr/cea-02904796
Contributor : Bruno Savelli <>
Submitted on : Wednesday, July 22, 2020 - 4:25:49 PM
Last modification on : Thursday, July 23, 2020 - 3:40:25 AM

File

MehWa.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

Madan Mehta, Rong Wang. Mathematical Physics Calculation of a Certain Determinant. Communications in Mathematical Physics, Springer Verlag, 2000, 214, pp.227 - 232. ⟨10.1007/s002200000260⟩. ⟨cea-02904796⟩

Share

Metrics

Record views

43

Files downloads

41