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Journal Articles Communications in Mathematical Physics Year : 2000

## Mathematical Physics Calculation of a Certain Determinant

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Rong Wang

#### 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.

#### Domains

Physics [physics] Mathematical Physics [math-ph]

### Dates and versions

cea-02904796 , version 1 (22-07-2020)

### Identifiers

• HAL Id : cea-02904796 , version 1
• DOI :

### Cite

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

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