46 citations · 133 across the 13 of their papers we have counts for
14 papers
Ultraviolet Renormalisation of a quantum field toy model I
Benjamin Alvarez, Jacob Schach Møller
We consider a class of Hamiltonians describing a fermion field coupled to a boson field. The interaction kernels are assumed bounded in the fermionic momentum variable and decaying…
Asymptotics in Spin-Boson type models
Thomas Norman Dam, Jacob Schach Møller
In this paper we investigate a family of models for a qubit interacting with a bosonic field. More precisely, we find asymptotic limits of the Hamiltonian as the strength of the in…
Spin-Boson type models analysed using symmetries
Thomas Norman Dam, Jacob Schach Møller
In this paper we analyse a family of models for a qubit interacting with a bosonic field. These models have a parity symmetry, which enables them to have a ground state even in som…
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…
Weighted estimates for the discrete Laplacian on the cubic lattice
Evgeny L. Korotyaev, Jacob Schach Møller
We consider the discrete Laplacian on the cubic lattice , and deduce estimates on the group and the resolvent , weighted by $\ell^q(\mathbb Z…
A Mathematical Analysis of Dressed Photon in Ground State of Generalized Quantum Rabi Model Using Pair Theory
Masao Hirokawa, Jacob Schach Moller, Itaru Sasaki
We consider the generalized quantum Rabi model with the so-called -term in the light of the Hepp-Lieb-Preparata quantum phase transition. We investigate the dressed photon i…