Speaker: Jaime Julve
Affiliation: IFF, CSIC
Date: Thursday, 25 February 2016 at 11:30
Location: Seminar Room, Serrano 121 (CFMAC)
The extension of the Dirac Delta distribution (DD) to the complex field is needed for dealing with the complex energy solutions of the Schrödinger equation, typically when calculating their inner products.
In quantum scattering theory the DD usually arises as an integral representation involving plane waves of real momenta.We shall deal with the complex extension of these representationsby using a Gaussian regularization. Their interpretation as distributions requires prescribing the integration path besides the space of test functions. An extension of the Sokhotski-Plemelj formula is obtained.