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6 papers · 2 filters
Totally classical Calogero model
C. Klimcik
We show that the standard Calogero Lax matrix can be interpreted as a function on the fuzzy sphere and the Avan-Talon r-matrix as a function on the direct product of two fuzzy sphe…
Non-equilibrium states of a photon cavity pumped by an atomic beam
Bruno Nachtergaele, Anna Vershynina, Valentin A. Zagrebnov
We consider a beam of two-level randomly excited atoms that pass one-by-one through a one-mode cavity. We show that in the case of an ideal cavity, i.e. no leaking of photons from…
Ghost effect by curvature in planar Couette flow
Leif Arkeryd, Raffaele Esposito, Rossana Marra +1
We study a rarefied gas, described by the Boltzmann equation, between two coaxial rotating cylinders in the small Knudsen number regime. When the radius of the inner cylinder is su…
The Ruijsenaars self-duality map as a mapping class symplectomorphism
L. Feher, C. Klimcik
This is a brief review of the main results of our paper arXiv:1101.1759 that contains a complete global treatment of the compactified trigonometric Ruijsenaars-Schneider system by…
On the spectra of the quantized action-variables of the compactified Ruijsenaars-Schneider system
L. Feher, C. Klimcik
A simple derivation of the spectra of the action-variables of the quantized compactified Ruijsenaars-Schneider system is presented. The spectra are obtained by combining Kahler qua…
Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle
Joachim Escher, Boris Kolev
In this paper, we study the geodesic flow of a right-invariant metric induced by a general Fourier multiplier on the diffeomorphism group of the circle and on some of its homogeneo…