Matula numbers, Gödel numbering and Fock space.
dc.contributor.author | Francisco Neto, Antônio | |
dc.date.accessioned | 2017-09-14T18:20:38Z | |
dc.date.available | 2017-09-14T18:20:38Z | |
dc.date.issued | 2013 | |
dc.description.abstract | By making use of Matula numbers, which give a 1-1 correspondence between rooted trees and natural numbers, and a Gödel type relabelling of quantum states, we construct a bijection between rooted trees and vectors in the Fock space. As a by product of the aforementioned correspondence (rooted trees ↔ Fock space) we show that the fundamental theorem of arithmetic is related to the grafting operator, a basic construction in many Hopf algebras. Also, we introduce the Heisenberg–Weyl algebra built in the vector space of rooted trees rather than the usual Fock space. This work is a cross-fertilization of concepts from combinatorics (Matula numbers), number theory (Gödel numbering) and quantum mechanics (Fock space). | pt_BR |
dc.identifier.citation | FRANCISCO NETO, A. Matula numbers, Gödel numbering and Fock space. Journal of Mathematical Chemistry, v. 51, p. 1802-1814, 2013. Disponível em: <https://link.springer.com/article/10.1007/s10910-013-0178-z>. Acesso em: 20 jul. 2017. | pt_BR |
dc.identifier.doi | https://doi.org/10.1007/s10910-013-0178-z | |
dc.identifier.issn | 1572-8897 | |
dc.identifier.uri | http://www.repositorio.ufop.br/handle/123456789/8732 | |
dc.identifier.uri2 | https://link.springer.com/article/10.1007/s10910-013-0178-z | pt_BR |
dc.language.iso | en_US | pt_BR |
dc.rights | restrito | pt_BR |
dc.subject | Rooted trees | pt_BR |
dc.subject | Hopf algebra | pt_BR |
dc.subject | Gödel relabelling | pt_BR |
dc.subject | Heisenberg–Weyl algebra | pt_BR |
dc.title | Matula numbers, Gödel numbering and Fock space. | pt_BR |
dc.type | Artigo publicado em periodico | pt_BR |
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