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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