16,242 research outputs found
Initial value representation for the SU(n) semiclassical propagator
The semiclassical propagator in the representation of SU(n) coherent states
is characterized by isolated classical trajectories subjected to boundary
conditions in a doubled phase space. In this paper we recast this expression in
terms of an integral over a set of initial-valued trajectories. These
trajectories are monitored by a filter that collects only the appropriate
contributions to the semiclassical approximation. This framework is suitable
for the study of bosonic dynamics in n modes with fixed total number of
particles. We exemplify the method for a Bose-Einstein condensate trapped in a
triple-well potential, providing a detailed discussion on the accuracy and
efficiency of the procedure.Comment: 24 pages, 6 figure
Towards Relativistic Skyrmions
We revisit baryons in the Skyrme model. Starting from static baryons in the
helicity eigenstates, we generalize their wavefunctions to the non-static and
relativistic regime. A new representation for gamma matrices in the soliton
collective space is constructed and the corresponding Dirac equation is
obtained. As an example, we draw consideration on how to apply this new
representation on the calculus of vector current vacuum expectation values for
baryon states of spin and isospin half and arbitrary momenta and we show how
elastic form factors can be derived.Comment: 7 pages, 7th Conference Mathematical Methods in Physics - Londrina
2012, Rio de Janeiro, Brazi
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