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Open AccessOn Lieb–Robinson Bounds for a Class of Continuum Fermions
We consider the quantum dynamics of a many-fermion system in \({{\mathbb {R}}}^d\) ...
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Open AccessGround 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...
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Open AccessFKN 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...