| dc.contributor.author | Oliveira, Maria João | |
| dc.contributor.author | Mendes, Rui Vilela | |
| dc.date.accessioned | 2015-09-22T10:15:45Z | |
| dc.date.available | 2020-12-31T01:30:10Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | 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. | pt_PT |
| dc.identifier | 10.1007/978-3-319-16637-7_11 | |
| dc.identifier.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 | pt_PT |
| dc.identifier.doi | 10.1007/978-3-319-16637-7_11 | |
| dc.identifier.isbn | 978-3-319-16636-0 (Print) | |
| dc.identifier.isbn | 978-3-319-16637-7 (Online) | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/4475 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer International Publishing Switzerland | pt_PT |
| dc.relation.publisherversion | http://link.springer.com/chapter/10.1007%2F978-3-319-16637-7_11 | pt_PT |
| dc.subject | Boson gases | pt_PT |
| dc.subject | Fractional poisson measure | pt_PT |
| dc.title | Fractional boson gas and fractional poisson measure in infinite dimensions | pt_PT |
| dc.type | book part | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 312 | pt_PT |
| oaire.citation.startPage | 293 | pt_PT |
| oaire.citation.title | From Particle Systems to Partial Differential Equations II | pt_PT |
| person.familyName | Oliveira | |
| person.givenName | Maria João | |
| person.identifier.ciencia-id | DD1B-3964-2168 | |
| person.identifier.orcid | 0000-0002-4027-9849 | |
| person.identifier.scopus-author-id | 24473078000 | |
| rcaap.embargofct | Política editorial, não existindo nenhuma versão anterior depositada no repositório arXiv | pt_PT |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | bookPart | pt_PT |
| relation.isAuthorOfPublication | 73548978-4e91-4a20-bc3c-c62106297626 | |
| relation.isAuthorOfPublication.latestForDiscovery | 73548978-4e91-4a20-bc3c-c62106297626 |
