16 citations · 34 across the 6 of their papers we have counts for
6 papers
On point-like interaction of three particles: two fermions and another particle. II
Robert Minlos
This work continues \cite{bib1} where the construction of Hamiltonian for the system of three quantum particles is considered. Namely the system consists of two fermions with m…
Lower Spectral Branches of a Spin-Boson Model
Nicolae Angelescu, Robert Minlos, Jean Ruiz +1
We study the structure of the spectrum of a two-level quantum system weakly coupled to a boson field (spin-boson model). Our analysis allows to avoid the cutoff in the number of bo…
Lower Spectral Branches of a Particle Coupled to a Bose Field
Nicolae Angelescu, Robert Minlos, Valentin Zagrebnov
The structure of the lower part (i.e. -away below the two-boson threshold) spectrum of Fröhlich's polaron Hamiltonian in the weak coupling regime is obtained in spatial dimensio…
Infrared regular representation of the three dimensional massless Nelson model
Jozsef Lorinczi, Robert A. Minlos, Herbert Spohn
We prove that in the Euclidean representation of the three dimensional massless Nelson model the t = 0 projection of the interacting measure is absolutely continuous with respect t…
Ground state properties of the Nelson Hamiltonian - A Gibbs measure-based approach
Volker Betz, Fumio Hiroshima, Jozsef Lorinczi +2
We study properties of the ground state of the Nelson model through functional integration. We obtain bounds on the average and the variance of the Bose field both in position and…
The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field
Jozsef Lorinczi, Robert A. Minlos, Herbert Spohn
We prove that Nelson's massless scalar field model is infrared divergent in three dimensions. In particular, the Nelson Hamiltonian and the Hamiltonian obtained from Euclidean quan…