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Self-adjoint realisations of Dirac-Coulomb operators

Matteo Gallone
Friday, November 24, 2017 - 14:00

Central to relativistic quantum mechanics is the Dirac equation, a partial differential equation that describes the dynamics of a spin-\tfrac{1}{2} particle. When one studies such dynamics in the electrostatic field generated by a nuclear point charge placed at the origin, one has to face the problem of qualifying the self-adjoint realisation(s) of thne minimal Dirac-Coulomb operator. In this talk I will introduce the basic elements of the theory of unbounded linear operators on Hilbert spaces and present some recent results obtained in a joint work with Alessandro Michelangeli.  


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We recall that this series of weekly seminars is intended to be an informal presentation of each student of the Analysis group, where he/she gives a general overview of his/her research with the other members of the group. Everyone is welcome. The spirit is: "Ask anything to understand everything!".

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