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Existence and uniqueness of the propagator for Schroedinger equations with exploding magnetic potentials

Kenji Yajima
(Gakushuin University)
Math/Phys Seminar
Thursday, 15 August, 2013, at 10:00-11:00, in Aud. D4 (1531-219)
Abstract:

It is well known that, if a very strong magnetic field is present at spatial infinity, Schroedinger operators with scalar potentials which  explode to negative infinity faster than quadratic functions can be  essentially selfadjoint on smooth functions with compact supports and, therefore,  generate  unique unitary propagators in the Hilbert space of square integrable  functions.  We show this is also true when potentials are time dependent. 

This is a  joint work  with Daisuke Aiba. 
Contact person: Jacob Schach Møller