A bijection between rooted trees and fermionic Fock states : grafting and growth operators in Fock space and fermionic operators for rooted trees.

dc.contributor.authorFrancisco Neto, Antônio
dc.date.accessioned2017-09-18T14:48:30Z
dc.date.available2017-09-18T14:48:30Z
dc.date.issued2013
dc.description.abstractWe showthat fermionic Fock states in the occupation number representation can be indexed uniquely by rooted trees. Our main ingredients in this construction are the Matula numbers, the fundamental theorem of arithmetic, and a relabeling of fermionic quantum states by natural numbers. As a byproduct of the correspondence mentioned above we realize the grafting and the growth operators, comprising important constructions in the context of Hopf algebras, in the fermionic Fock space. Also, we show how to construct fermionic creation and annihilation operators in the context of rooted trees. New representations of the solutions of combinatorial Dyson–Schwinger equations and of the antipode in the Connes–Kreimer Hopf algebra of rooted trees related to the occupation number picture are presented.pt_BR
dc.identifier.citationFRANCISCO NETO, A. A bijection between rooted trees and fermionic Fock states: grafting and growth operators in Fock space and fermionic operators for rooted trees. Journal of Physics A: Mathematical and Theoretical, v. 46, p. 435205, 2013. Disponível em: <http://iopscience.iop.org/article/10.1088/1751-8113/46/43/435205/pdf>. Acesso em: 20 jul. 2017.pt_BR
dc.identifier.doihttp://dx.doi.org/10.1088/1751-8113/46/43/435205
dc.identifier.issn1751-8121
dc.identifier.urihttp://www.repositorio.ufop.br/handle/123456789/8747
dc.identifier.uri2http://iopscience.iop.org/article/10.1088/1751-8113/46/43/435205/pdfpt_BR
dc.language.isoen_USpt_BR
dc.rightsrestritopt_BR
dc.titleA bijection between rooted trees and fermionic Fock states : grafting and growth operators in Fock space and fermionic operators for rooted trees.pt_BR
dc.typeArtigo publicado em periodicopt_BR
Arquivos
Pacote Original
Agora exibindo 1 - 1 de 1
Nenhuma Miniatura disponível
Nome:
ARTIGO_BijectionBetweenRooted.pdf
Tamanho:
1.24 MB
Formato:
Adobe Portable Document Format
Licença do Pacote
Agora exibindo 1 - 1 de 1
Nenhuma Miniatura disponível
Nome:
license.txt
Tamanho:
924 B
Formato:
Item-specific license agreed upon to submission
Descrição: