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Quantum dynamics of a particle on the half-line with point interaction at the origin

Eugenio Pozzoli
Location: 
A-136
Schedule: 
Thursday, June 28, 2018 - 16:00
Abstract: 

We will derive the explicit kernel of the propagator of a generic self-adjoint realization of the Laplacian on the half-line by a suitable adaptation of the Albeverio-Brzezniak-Dabrowski scheme developed in punctured R^d, based on Laplace transform and spectral calculus. The dynamics governed by each propagator is determined by an actual interaction supported at the origin.

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