Spin and localization of relativistic fermions and uncertainty relations

Página do item simplificado
dc.creatorCéleri, Lucas Chibebe
dc.creatorKiosses, Vasilis
dc.creatorTerno, Daniel R.
dc.date.accessioned2024-02-27T12:18:10Z
dc.date.available2024-02-27T12:18:10Z
dc.date.issued2016
dc.description.abstractWe discuss relations between several relativistic spin observables and derive a Lorentz-invariant characteristic of a reduced spin density matrix. A relativistic position operator that satisfies all the properties of its nonrelativistic analog does not exist. Instead we propose two causality-preserving positive operator-valued measures (POVMs) that are based on projections onto one-particle and antiparticle spaces, and on the normalized energy density. They predict identical expectation values for position. The variances differ by less than a quarter of the squared de Broglie wavelength and coincide in the nonrelativistic limit. Since the resulting statistical moment operators are not canonical conjugates of momentum, the Heisenberg uncertainty relations need not hold. Indeed, the energy density POVM leads to a lower uncertainty. We reformulate the standard equations of the spin dynamics by explicitly considering the charge-independent acceleration, allowing a consistent treatment of backreaction and inclusion of a weak gravitational field.
dc.identifier.citationCÉLERI, Lucas C.; KIOSSES, Vasilis; TERNO, Daniel R. Spin and localization of relativistic fermions and uncertainty relations. Physical Review A, College Park, v. 94, e062115, 2016. DOI: 10.1103/PhysRevA.94.062115. Disponível em: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.94.062115. Acesso em 24 fev. 2025.
dc.identifier.doi10.1103/PhysRevA.94.062115
dc.identifier.issn2469-9926
dc.identifier.issne- 2469-9934
dc.identifier.urihttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.94.062115
dc.language.isoeng
dc.publisher.countryEstados unidos
dc.publisher.departmentInstituto de Física - IF (RMG)
dc.rightsAcesso Restrito
dc.titleSpin and localization of relativistic fermions and uncertainty relations
dc.typeArtigo

Arquivos

Pacote Original
Agora exibindo 1 - 1 de 1
Nenhuma Miniatura disponível
Nome:
Excluir arquivo.pdf
Tamanho:
14.84 KB
Formato:
Adobe Portable Document Format
Baixar
Licença do Pacote
Agora exibindo 1 - 1 de 1
Nenhuma Miniatura disponível
Nome:
license.txt
Tamanho:
1.71 KB
Formato:
Item-specific license agreed upon to submission
Descrição:
Baixar

Coleções

IF - Artigos publicados em periódicos