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math-ph2000★ 1 cited
The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field
Jozsef Lorinczi, Robert A. Minlos, Herbert Spohn
We prove that Nelson's massless scalar field model is infrared divergent in three dimensions. In particular, the Nelson Hamiltonian and the Hamiltonian obtained from Euclidean quan…
math-ph2000★ 33 cited
Semiclassical limit for the Schroedinger equation with a short scale periodic potential
F. Hoevermann, H. Spohn, S. Teufel
We consider the dynamics generated by the Schroedinger operator $H=-{1/2}Δ+ V(x) + W(\epsi x)$, where is a lattice periodic potential and an external potential which varies…
math-ph2000★ 21 cited
Slow Motion of Charges Interacting Through the Maxwell Field
Markus Kunze, Herbert Spohn
We study the Abraham model for charges interacting with the Maxwell field. On the scale of the charge diameter, , the charges are a distance $\eps^{-1}R_ϕ$ apart and have…