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7 papers · 2 filters
Information entropy of Gegenbauer polynomials of integer parameter
Julio I. de Vicente, Silvia Gandy, Jorge Sánchez-Ruiz
The position and momentum information entropies of -dimensional quantum systems with central potentials, such as the isotropic harmonic oscillator and the hydrogen atom, depend…
Kinetic Equations for Quantum Many-Particle Systems
Herbert Spohn
The current status of the derivation of kinetic equations from quantum many-particle dynamics is reviewed.
From su(2) Gaudin Models to Integrable Tops
Matteo Petrera, Orlando Ragnisco
In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body…
Anomalous energy transport in the FPU-beta chain
Jani Lukkarinen, Herbert Spohn
We consider the energy current correlation function for the FPU-beta lattice. For small non-linearity one can rely on kinetic theory. The issue reduces then to a spectral analysis…
Relative "-Numerical Ranges for Applications in Quantum Control and Quantum Information
G. Dirr, U. Helmke, M. Kleinsteuber +1
Motivated by applications in quantum information and quantum control, a new type of "-numerical range, the relative "-numerical range denoted , is introduced. It ar…
Continuous Symmetries of the Lattice Potential KdV Equation
Decio Levi, Matteo Petrera
In this paper we present a set of results on the integration and on the symmetries of the lattice potential Korteweg-de Vries (lpKdV) equation. Using its associated spectral proble…