@article{19661,
  abstract     = {The Nelson model describes non-relativistic particles coupled to a relativistic Bose scalar field. In this article, we study the renormalized version of the Nelson model with massless bosons in Davies' weak coupling limit. Our main result states that the two-body Coulomb potential emerges as an effective pair interaction between the particles, which arises from the exchange of virtual excitations of the quantum field.},
  author       = {Cárdenas, Esteban and Mitrouskas, David Johannes},
  issn         = {1751-8121},
  journal      = {Journal of Physics A: Mathematical and Theoretical},
  number       = {17},
  publisher    = {IOP Publishing},
  title        = {{The renormalized Nelson model in the weak coupling limit}},
  doi          = {10.1088/1751-8121/adcdd9},
  volume       = {58},
  year         = {2025},
}

@article{14421,
  abstract     = {Only recently has it been possible to construct a self-adjoint Hamiltonian that involves the creation of Dirac particles at a point source in 3d space. Its definition makes use of an interior-boundary condition. Here, we develop for this Hamiltonian a corresponding theory of the Bohmian configuration. That is, we (non-rigorously) construct a Markov jump process $(Q_t)_{t\in\mathbb{R}}$ in the configuration space of a variable number of particles that is $|\psi_t|^2$-distributed at every time t and follows Bohmian trajectories between the jumps. The jumps correspond to particle creation or annihilation events and occur either to or from a configuration with a particle located at the source. The process is the natural analog of Bell's jump process, and a central piece in its construction is the determination of the rate of particle creation. The construction requires an analysis of the asymptotic behavior of the Bohmian trajectories near the source. We find that the particle reaches the source with radial speed 0, but orbits around the source infinitely many times in finite time before absorption (or after emission).},
  author       = {Henheik, Sven Joscha and Tumulka, Roderich},
  issn         = {1751-8121},
  journal      = {Journal of Physics A: Mathematical and Theoretical},
  number       = {44},
  publisher    = {IOP Publishing},
  title        = {{Creation rate of Dirac particles at a point source}},
  doi          = {10.1088/1751-8121/acfe62},
  volume       = {56},
  year         = {2023},
}

@article{10755,
  abstract     = {We provide a definition of the effective mass for the classical polaron described by the Landau–Pekar (LP) equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by LP (1948 J. Exp. Theor. Phys. 18 419–423).},
  author       = {Feliciangeli, Dario and Rademacher, Simone Anna Elvira and Seiringer, Robert},
  issn         = {1751-8121},
  journal      = {Journal of Physics A: Mathematical and Theoretical},
  number       = {1},
  publisher    = {IOP Publishing},
  title        = {{The effective mass problem for the Landau-Pekar equations}},
  doi          = {10.1088/1751-8121/ac3947},
  volume       = {55},
  year         = {2022},
}

