9,985 research outputs found
Long range action in networks of chaotic elements
We show that under certain simple assumptions on the topology (structure) of
networks of strongly interacting chaotic elements a phenomenon of long range
action takes place, namely that the asymptotic (as time goes to infinity)
dynamics of an arbitrary large network is completely determined by its boundary
conditions. This phenomenon takes place under very mild and robust assumptions
on local dynamics with short range interactions. However, we show that it is
unstable with respect to arbitrarily weak local random perturbations.Comment: 15 page
Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators
We extend the formulation of pseudo-Hermitian quantum mechanics to
eta-pseudo-Hermitian Hamiltonian operators H with an unbounded metric operator
eta. In particular, we give the details of the construction of the physical
Hilbert space, observables, and equivalent Hermitian Hamiltonian for the case
that H has a real and discrete spectrum and its eigenvectors belong to the
domain of eta and consequently its positive square root.Comment: 8 pages, accepted for publication in Phil. Trans. R. Soc.
Achieving Results Through Community School Partnerships
Outlines the importance of and strategies for building and maintaining successful partnerships for community schools that integrate academics, youth development, family support, health and social services, and community development. Makes recommendations
Lunar response to the time-varying interplanetary magnetic field and application to the ALSEP magnetometer experiment
Mathematical model for predicting lunar response to time varying interplanetary magnetic fields and its applicability to interpretation of ALSEP magnetometer dat
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