Fiche du document
1993
Copyright PERSEE 2003-2023. Works reproduced on the PERSEE website are protected by the general rules of the Code of Intellectual Property. For strictly private, scientific or teaching purposes excluding all commercial use, reproduction and communication to the public of this document is permitted on condition that its origin and copyright are clearly mentionned.
Sujets proches
Minkowski space Spaces, Generalized Weyl space Geometry of pathsCiter ce document
Christian Ohn et al., « The Dirac operator on compactified Minkowski space », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1993.27461
Métriques
Partage / Export
Résumé
We analyze the discrete spectrum of the Dirac operator associated to the two non equivalent spin structures on the compactified Minkowski space S1 x S3, by the usual methods of harmonic analysis. We discuss in detail how the multiplicities of the eigenvalues depend on the radii of S1 and S3, by solving a Diophantine equation.