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The bipolaron in the strong coupling limit
T. Miyao, H. Spohn
The bipolaron are two electrons coupled to the elastic deformations of an ionic crystal. We study this system in the Fröhlich approximation. If the Coulomb repulsion dominates, the…
Collisional invariants for the phonon Boltzmann equation
Herbert Spohn
For the phonon Boltzmann equation with only pair collisions we characterize the set of all collisional invariants under some mild conditions on the dispersion relation.
On the Integrated Form of the BBGKY Hierarchy for Hard Spheres
Herbert Spohn
In my book ``Large Scale Dynamics of Interacting Particles'' [S] I refer to an unpublished note from early 1985 on the BBGKY hierarchy for hard spheres. My main point there was to…
Domino tilings and the six-vertex model at its free fermion point
Patrik L. Ferrari, Herbert Spohn
At the free-fermion point, the six-vertex model with domain wall boundary conditions (DWBC) can be related to the Aztec diamond, a domino tiling problem. We study the mapping on th…
Lowest energy states in nonrelativistic QED: atoms and ions in motion
Michael Loss, Tadahiro Miyao, Herbert Spohn
Within the framework of nonrelativisitic quantum electrodynamics we consider a single nucleus and electrons coupled to the radiation field. Since the total momentum is cons…
Energy Transport in Weakly Anharmonic Chains
Kenichiro Aoki, Jani Lukkarinen, Herbert Spohn
We investigate the energy transport in a one-dimensional lattice of oscillators with a harmonic nearest neighbor coupling and a harmonic plus quartic on-site potential. As numerica…