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9 papers · 1 filter
Inverse scattering at fixed energy for the multidimensional Newton equation in short range radial potentials
Alexandre Jollivet
We consider the inverse scattering problem at fixed and sufficiently large energy for the nonrelativistic and relativistic Newton equation in , , with a smooth and s…
Explicit Construction of First Integrals by Singularity Analysis in Nonlinear Dynamical Systems
Ch. Efthymiopoulos, T. Bountis, T. Manos
The Painleve and weak Painleve conjectures have been used widely to identify new integrable nonlinear dynamical systems. The calculation of the integrals relies though on methods q…
On the entropy of the mean field spin glass model
Flora Koukiou
From the study of a functional equation relating the Gibbs measures at two different tempratures we prove that the specific entropy of the Gibbs measure of the Sherrington-Kirkpatr…
Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure
Jean Avan, Eric Ragoucy
We compute the full expression of the second Poisson bracket structure for N=2 and N=3 site rational classical Calogero-Moser model. We propose an r-matrix formulation for N=2. It…
Coupling between magnetic field and curvature in Heisenberg spins on surfaces with rotational symmetry
Vagson L. Carvalho-Santos, Rossen Dandoloff
We study the nonlinear -model in an external magnetic field applied on curved surfaces with rotational symmetry. The Euler-Lagrange equations derived from the Hamiltonian yield…
Weak Measurements in Non-Hermitian Systems
A. Matzkin
"Weak measurements" -- involving a weak unitary interaction between a quantum system and a meter followed by a projective measurement -- are investigated when the system has a non-…