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2002-01-01 - Article/Dans un journal avec peer-review - Anglais - 8 page(s)

Gabriel Cl., Detournay S., Spindel Philippe , "About maximally localized states in quantum mechanics" in Physical Review. D : Particles and Fields, 66, 8 pages

  • Edition : American Physical Society, College Park (MD)
  • Codes CREF : Mécanique quantique classique et relativiste (DI1211), Théorie quantique des champs (DI1215)
  • Unités de recherche UMONS : Mécanique et gravitation (S884)

Abstract(s) :

(Anglais) We analyze the emergence of a minimal length for a large class of generalized commutation relations, preserving commutation of the position operators and translation invariance as well as rotation invariance (in dimensions higher than one). We show that the construction of the maximally localized states based on squeezed states generally fails. Rather, one must resort to a constrained variational principle.

Notes :
  • (Anglais) hepth/210128, Bibliographic Code:2002PhRvD..66l5004D
Identifiants :
  • DOI : 10.1103/PhysRevD.66.125004