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Book Sections Year : 2001

## Integration over angular variables for two coupled matrices

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1
G. Mahoux
• Function : Author
M.L. Mehta
• Function : Author
J.-M. Normand
• Function : Author

#### Abstract

An integral over the angular variables for two coupled $n$ x $n$ real symmetric, complex hermitian or quaternion self-dual matrices is expressed in term of the eigenvalues and eigenfunctions of a hamiltonian closely related to the Calogero hamiltinian. This generalizes the known result for the complex hermitian matrices. The integral can thus be evaluated for $n = 2$ and reduced to a single sum for $n = 3$

#### Domains

Physics [physics] Mathematical Physics [math-ph]

### Dates and versions

cea-02905122 , version 1 (23-07-2020)

### Identifiers

• HAL Id : cea-02905122 , version 1

### Cite

G. Mahoux, M.L. Mehta, J.-M. Normand. Integration over angular variables for two coupled matrices. Pavel Bleher; Alexander Its. Random Matrix Models and Their Applications, 40, Cambridge UP, pp.301-320, 2001, MSRI Publications, 0-521-80209-1. ⟨cea-02905122⟩

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