13 citations · 16 across the 3 of their papers we have counts for
6 papers
Feynman-Kac formula and asymptotic behavior of the minimal energy for the relativistic Nelson model in two spatial dimensions
Benjamin Hinrichs, Oliver Matte
We consider the renormalized relativistic Nelson model in two spatial dimensions for a finite number of spinless, relativistic quantum mechanical matter particles in interaction wi…
Feynman-Kac formulas for Dirichlet-Pauli-Fierz operators with singular coefficients
Oliver Matte
We derive Feynman-Kac formulas for Dirichlet realizations of Pauli-Fierz operators generating the dynamics of nonrelativistic quantum mechanical matter particles, which are minimal…
Ground states and associated path measures in the renormalized Nelson model
Fumio Hiroshima, Oliver Matte
We prove the existence, uniqueness, and strict positivity of ground states of the possibly massless renormalized Nelson operator under an infrared regularity condition and for Kato…
Pauli-Fierz type operators with singular electromagnetic potentials on general domains
Oliver Matte
We consider Dirichlet realizations of Pauli-Fierz type operators generating the dynamics of non-relativistic matter particles which are confined to an arbitrary open subset of the…
Feynman-Kac formulas for the ultra-violet renormalized Nelson model
Oliver Matte, Jacob Schach Møller
We derive Feynman-Kac formulas for the ultra-violet renormalized Nelson Hamiltonian with a Kato decomposable external potential and for corresponding fiber Hamiltonians in the tran…
Continuity properties of the semi-group and its integral kernel in non-relativistic QED
Oliver Matte
Employing recent results on stochastic differential equations associated with the standard model of non-relativistic quantum electrodynamics by B. Güneysu, J.S. Møller, and the pre…