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Advisor(s)
Abstract(s)
As a consequence of Haag’s theorem, to obtain a non-trivial theory, one
either works with a non-Fock representation or with a Fock representation in a finite
volume. Calculations in the Fock representation taking the N,V→ ∞limit with
the ratio N/V=ρ fixed, show the equivalence of the free Boson gas and the infinite-dimensional
Poisson measure. The N/V limit provides a way to deal with non-trivial
infinite systems using the Fock representation. However, by the very nature of the
fixed ρ density limit, it is unable to deal with systems with density fluctuations, a
shortcoming that is solved by the use of reducible functionals. A particularly interesting
reducible functional is the one associated to the infinite-dimensional fractional
Poisson measure which we recall in this work.
Description
Keywords
Boson gases Fractional poisson measure
Citation
Oliveira, Maria João; Mendes, Rui Vilela - Fractional boson gas and fractional poisson measure in infinite dimensions. In "From particle systems to partial differential equations II" [Em linha]. Editado por Patrícia Gonçalves e Ana Jacinta Soares. [S.l.] : Springer. ISBN 978-3-319-16637-7. p. 293-312
Publisher
Springer International Publishing Switzerland