1,064 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.
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