Séminaire du LPTMS: Mauricio Pato


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405

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Pseudo-Hermitian random matrix ensembles

Mauricio Pato (Universidade de São Paulo, Brazil)

In my talk, I will revise results obtained in an effort to construct ensemble of random matrices which are connected with their adjoint by a similarity transformation. Matrices satisfying this condition have eigenvalues real or complex conjugate and are called pseudo-Hermitian. This condition arose in studies of systems whose Hamiltonians are PT-symmetric invariant, that is, Hamiltonians which though not invariant under the time-reversl and the parity transformations performed isolatedly become invariant when these transformations are combined.

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