arXiv subjects

T. Moser

Publications and source records attributed to T. Moser.

3 recordsLinked to original sources

arXiv2014

Superfluid behavior of a Bose-Einstein condensate in a random potential

We investigate the relation between Bose-Einstein condensation (BEC) and superfluidity in the ground state of a one-dimensional model of interacting Bosons in a strong random potential. We prove rigorously that in a certain parameter regime the superfluid fraction can be arbitrarily small while complete BEC prevails. In another regime there is both complete BEC and complete superfluidity, despite the strong disorder.

cond-mat.quant-gas↗

arXiv2006

A microscopic derivation of the quantum mechanical formal scattering cross section

We prove that the empirical distribution of crossings of a "detector'' surface by scattered particles converges in appropriate limits to the scattering cross section computed by stationary scattering theory. Our result, which is based on Bohmian mechanics and the flux-across-surfaces theorem, is the first derivation of the cross section starting from first microscopic principles.

quant-ph↗

arXiv2006

Asymptotic Behavior of Bohmian Trajectories in Scattering Situations

We study the asymptotic behavior of Bohmian trajectories in a scattering situation with short range potential and for wave functions with a scattering and a bound part. It is shown that the set of possible trajectories splits into trajectories whose long time behavior is governed by the scattering part of the wave function (scattering trajectories) and trajectories whose long time behavior is governed by the bound part of the wave function (bound trajectories). Furthermore the scattering trajectories behave like trajectories in classical mechanics in the long time limit. As an intermediate step we show that the asymptotic velocity v_{infty}:=lim_{t to infty}Q/t exists almost surely and is randomly distributed with the density |hat{Psi}^{out}|^2, where Psi^{out} is the outgoing asymptote of the scattering part of the wave function.

math-ph↗