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A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions
class of integrable Hamiltonian systems scattering of particles line repulsive interactions
2012/4/26
The main purpose of this paper is to introduce a new class of Hamiltonian scattering systems of the cone potential type that can be integrated via the asymptotic velocity. For a large subclass, the as...
Blowup for the Euler and Euler-Poisson Equations with Repulsive Forces II
Blowup Euler and Euler-Poisson Equations Repulsive Forces II
2011/2/25
In this paper, we continue to study the blowup problem of the N-dimensional compressible
Euler or Euler-Poisson equations with repulsive forces, in radial symmetry. In details, we
extend the recent ...
Suppression of the quantum-mechanical collapse by repulsive interactions in a quantum gas
Quantum Gases (cond-mat.quant-gas) Pattern Formation and Solitons (nlin.PS)
2010/11/11
The quantum-mechanical collapse (alias fall onto the center of particles attracted by potential -1/r^2), or "quantum anomaly", is a well-known issue in the quantum theory. We demonstrate that the mean...
Mass media and repulsive interactions in continuous-opinion dynamics
Mass media repulsive interactions continuous-opinion dynamics
2010/4/6
This letter focus on the effect of repulsive interactions on the adoption of an external message in an opinion model. With a simple change in the rules, we modify the Deffuant \emph{et al.} model to i...
Inverse Scattering for a Schrodinger Operator with a Repulsive Potential
Inverse scattering Repulsive potential
2007/12/11
We consider a pair of Hamiltonians $(H, H_0 )$ on $L^2 ({\Bbb R}^n ),$ where $H_0 = p^2 -x^2$ is a Schr\" odinger operator with a repulsive potential, and $H= H_0 +V(x)$. We show that, under suitable ...