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  1. Article

    Open Access

    On Lieb–Robinson Bounds for a Class of Continuum Fermions

    We consider the quantum dynamics of a many-fermion system in \({{\mathbb {R}}}^d\) ...

    Benjamin Hinrichs, Marius Lemm, Oliver Siebert in Annales Henri Poincaré (2024)

  2. Article

    Open Access

    Ground States for Infrared Renormalized Translation-Invariant Non-Relativistic QED

    We consider a translation-invariant Pauli–Fierz model describing a non-relativistic charged quantum mechanical particle interacting with the quantized electromagnetic field. The charged particle may be spinles...

    David Hasler, Oliver Siebert in Annales Henri Poincaré (2024)

  3. Article

    Open Access

    FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field

    We consider the spin boson model with external magnetic field. We prove a path integral formula for the heat kernel, known as Feynman–Kac–Nelson (FKN) formula. We use this path integral representation to expre...

    David Hasler, Benjamin Hinrichs, Oliver Siebert in Annales Henri Poincaré (2022)