1,728 research outputs found
Synchrotron radiation of crystallized beams
We study the modifications of synchrotron radiation of charges in a storage
ring as they are cooled. The pair correlation lengths between the charges are
manifest in the synchrotron radiation and coherence effects exist for
wavelengths longer than the coherence lengths between the charges. Therefore
the synchrotron radiation can be used as a diagnostic tool to determine the
state (gas, liquid, crystal) of the charged plasma in the storage ring. We show
also that the total power of the synchrotron radiation is enormously reduced
for crystallized beams. This opens the possibility of accelerating particles to
ultra-relativistic energies using small-sized cyclic accelerators.Comment: REVTeX, 27 pages, 6 figures, submitted to Phys. Rev.
Suppression of synchrotron radiation due to beam crystallization
With respect to a "hot", non-crystallized beam the synchrotron radiation of a
cold crystallized beam is considerably modified. We predict suppression of
synchrotron radiation emitted by a crystallized beam in a storage ring. We also
propose experiments to detect this effect.Comment: LaTeX, 3 pages, 1 figure, To be published in Eur. Phys. J. A,
December 199
Combinatorial identities for binary necklaces from exact ray-splitting trace formulae
Based on an exact trace formula for a one-dimensional ray-splitting system,
we derive novel combinatorial identities for cyclic binary sequences (P\'olya
necklaces).Comment: 15 page
Exact, convergent periodic-orbit expansions of individual energy eigenvalues of regular quantum graphs
We present exact, explicit, convergent periodic-orbit expansions for
individual energy levels of regular quantum graphs. One simple application is
the energy levels of a particle in a piecewise constant potential. Since the
classical ray trajectories (including ray splitting) in such systems are
strongly chaotic, this result provides the first explicit quantization of a
classically chaotic system.Comment: 25 pages, 5 figure
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