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Infrared regular representation of the three dimensional massless Nelson model
Jozsef Lorinczi, Robert A. Minlos, Herbert Spohn
We prove that in the Euclidean representation of the three dimensional massless Nelson model the t = 0 projection of the interacting measure is absolutely continuous with respect t…
Ground state properties of the Nelson Hamiltonian - A Gibbs measure-based approach
Volker Betz, Fumio Hiroshima, Jozsef Lorinczi +2
We study properties of the ground state of the Nelson model through functional integration. We obtain bounds on the average and the variance of the Bose field both in position and…
Scale Invariance of the PNG Droplet and the Airy Process
Michael Praehofer, Herbert Spohn
We establish that the static height fluctuations of a particular growth model, the PNG droplet, converges upon proper rescaling to a limit process, which we call the Airy process A…
Adiabatic Decoupling and Time-Dependent Born-Oppenheimer Theory
Herbert Spohn, Stefan Teufel
We reconsider the time-dependent Born-Oppenheimer theory with the goal to carefully separate between the adiabatic decoupling of a given group of energy bands from their orthogonal…
Porous silicon formation and electropolishing
Markus Rauscher, Herbert Spohn
Electrochemical etching of silicon in hydrofluoride containing electrolytes leads to pore formation for low and to electropolishing for high applied current. The transition between…
Post-Coulombian Dynamics at Order 1.5
Markus Kunze, Herbert Spohn
We study the dynamics of N charges interacting with the Maxwell field. If their initial velocities are small compared to the velocity of light, c, then in lowest order their motion…