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Aspects of integrability in a classical model for non-interacting fermionic fields | | Simon Grosse-Holz
; Thomas Engl
; Klaus Richter
; Juan Diego Urbina
; | | Date: |
26 Aug 2015 | | Abstract: | In this work we investigate the issue of integrability in a classical model
for noninteracting fermionic fields. This model is constructed via
classical-quantum correspondence obtained from the semiclassical treatment of
the quantum system. Our main finding is that the classical system, contrary to
the quantum system, is not integrablein general. Regarding this contrast it is
clear that in general classical models for fermionic quantum systems have to be
handled with care. Further numerical investigation of the system showed that
there may be islands of stability in the phase space. We also investigated a
similar model that is used in theoretical chemistry and found this one to be
most probably integrable, although also here the integrability is not assured
by the quantum-classical correspondence principle. | | Source: | arXiv, 1508.6518 | | Services: | Forum | Review | PDF | Favorites | |
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