# Ground states of the Nelson model with a singular perturbation

Takeru Hidaka
(Kyushu University)
Analyseseminar
Torsdag, 8 december, 2016, at 16:15-17:15, in Aud. D3 (1531-215)
Abstrakt:
The self-adjointness and the existence of a ground state for the Nelson model with a singular perturbation is considered. The total Hamiltonian is of the form:   $H = (−\Delta+V )\otimes 1+1\otimes d\Gamma(\omega)+\sum_{k=1}^4 c_k \phi_k$, where $c_j ∈ \mathbb R$ for  $j = 1, 2, 3$ and $c_4 > 0$.
Kontaktperson: Jacob Schach Møller