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Global well-posedness of the spatially homogeneous Hubbard-Boltzmann equation
Jani Lukkarinen, Peng Mei, Herbert Spohn
The Hubbard model is a simplified description for the evolution of interacting spin-1/2 fermions on a d-dimensional lattice. In a kinetic scaling limit, the Hubbard model can be as…
Matrix-valued Boltzmann Equation for the Hubbard Chain
Martin L. R. Fürst, Christian B. Mendl, Herbert Spohn
We study, both analytically and numerically, the Boltzmann transport equation for the Hubbard chain with nearest neighbor hopping and spatially homogeneous initial condition. The t…
On Lagrangian Theory for Rotating Charge Coupled to the Maxwell Field
Valeriy Imaykin, Alexander Komech, Herbert Spohn
We justify the Hamilton least action principle for the Maxwell-Lorentz equations with Abraham's rotating extended electron. The main novelty in the proof is application of the vari…
Scale Dependence of the Retarded van der Waals Potential
Tadahiro Miyao, Herbert Spohn
We study the ground state energy for a system of two hydrogen atoms coupled to the quantized Maxwell field in the limit together with the relative distance between the ato…
Stochastic integrability and the KPZ equation
Herbert Spohn
The emerging field of stochastic integrability is outlined.
Enhanced Binding in Quantum Field Theory
Fumio Hiroshima, Itaru Sasaki, Herbert Spohn +1
This lecture note consists of three parts. Fundamental facts on Boson Fock space are introduced in Part I. Ref. 1.and 3. are reviewed in Part II and, Ref. 2. and 4. in Part III. In…