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Self-adjointness and Domain of the Nelson Hamiltonian

Andreas Wunsch
(Stuttgart)
Analysis Seminar
Thursday, 31 August, 2017, at 15:15-16:00, in Aud. D4 (1531-219)
Abstract:
It is well-known that the Nelson Hamiltonian can be realized as norm-resolvent limit of operators where an ultraviolet cutoff is imposed  and after subtracting a suitable renormalization constant. From the  usual computations, one obtains only an abstract existence statement  about the operator. In the talk, I want to present some properties of  the domain of the renormalized Nelson Hamiltonian that can be obtained,  nevertheless.
Contact person: Jacob Schach Møller