Séminaire exceptionnel du LPTMS: Anthony Mays

Determinantal polynomials, vortices and random matrices: an exercise in experimental mathematical physics

Anthony Mays (University of Melbourne)

Inspired by the interpretation of eigenvalues of random matrices as a gas of interacting particles we develop a toy model of vortex or particle dynamics using determinantal polynomials of random matrices. By introducing quaternionic structures we generate vortex/anti-vortex systems, and from studying the phase surface of the associated wavefunction, we identify topological rules governing the creation and annihilation of the vortices. We also discuss an interpretation of annihilation events in terms of quaternionic states


Date/Time : 23/05/2019 - 11:00 - 12:00

Location : LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay

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