21 citations · 145 across the 17 of their papers we have counts for
9 papers · 1 filter
Singular light cone interactions of scalar particles in 1+3 dimensions
Matthias Lienert, Markus Nöth
Here we consider an integral equation describing a fixed number of scalar particles which interact not through boson exchange but directly along light cones, similarly as in bound…
A Lorentz-Covariant Interacting Electron-Photon System in One Space Dimension
Michael K. -H. Kiessling, Matthias Lienert, A. Shadi Tahvildar-Zadeh
A Lorenz-covariant system of wave equations is formulated for a quantum-mechanical two-body system in one space dimension, comprised of one electron and one photon. Manifest Lorent…
Existence of relativistic dynamics for two directly interacting Dirac particles in 1+3 dimensions
Matthias Lienert, Markus Nöth
Here we prove the existence and uniqueness of solutions of a class of integral equations describing two Dirac particles in 1+3 dimensions with direct interactions. This class of in…
Multi-time formulation of particle creation and annihilation via interior-boundary conditions
Matthias Lienert, Lukas Nickel
Interior-boundary conditions (IBCs) have been suggested as a possibility to circumvent the problem of ultraviolet divergences in quantum field theories. In the IBC approach, partic…
Interacting relativistic quantum dynamics of two particles on spacetimes with a Big Bang singularity
Matthias Lienert, Roderich Tumulka
Relativistic quantum theories are usually thought of as being quantum field theories, but this is not the only possibility. Here we consider relativistic quantum theories with a fi…
A new class of Volterra-type integral equations from relativistic quantum physics
Matthias Lienert, Roderich Tumulka
Here we study a new kind of linear integral equations for a relativistic quantum-mechanical two-particle wave function , where are spacetime points. In the ca…