230 research outputs found
"A Solvable Hamiltonian System" Integrability and Action-Angle Variables
We prove that the dynamical system charaterized by the Hamiltonian proposed and studied by Calogero [1,2] is equivalent
to a system of {\it non-interacting} harmonic oscillators. We find the explicit
form of the conserved currents which are in involution. We also find the
action-angle variables and solve the initial value problem in simple form.Comment: 12 pages, Latex, No Figure
Reply to Comment on ''Quantum key distribution for d-level systems with generalized Bell states''
In a recent comment \cite{ch1} it has been claimed that an entangled-based
quantum key distribution protocol proposed in \cite{zhang} and its
generalization to d-level systems in \cite{v1} are insecure against an attack
devised by the authors of the comment. We invalidate the arguments of the
comment and show that the protocols are still secure.Comment: 4 pages, Latex, no figures, Accepted for Publication in Phys. Rev.
A new class of models for surface relaxation with exact mean-field solutions
We introduce a class of discrete models for surface relaxation. By exactly
solving the master equation which governs the microscopic dynamics of the
surface, we determine the steady state of the surface and calculate its
roughness. We will also map our model to a diffusive system of particles on a
ring and reinterpret our results in this new setting.Comment: 12 pages, 3 figures,references adde
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