Foundations of Physics

, Volume 39, Issue 9, pp 1023–1045

Quantum Mechanics: Modal Interpretation and Galilean Transformations

  • Juan Sebastian Ardenghi
  • Mario Castagnino
  • Olimpia Lombardi
Article

DOI: 10.1007/s10701-009-9313-x

Cite this article as:
Ardenghi, J.S., Castagnino, M. & Lombardi, O. Found Phys (2009) 39: 1023. doi:10.1007/s10701-009-9313-x

Abstract

The aim of this paper is to consider in what sense the modal-Hamiltonian interpretation of quantum mechanics satisfies the physical constraints imposed by the Galilean group. In particular, we show that the only apparent conflict, which follows from boost-transformations, can be overcome when the definition of quantum systems and subsystems is taken into account. On this basis, we apply the interpretation to different well-known models, in order to obtain concrete examples of the previous conceptual conclusions. Finally, we consider the role played by the Casimir operators of the Galilean group in the interpretation.

Keywords

Modal-Hamiltonian interpretation Galilean group Casimir operators 

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Juan Sebastian Ardenghi
    • 1
  • Mario Castagnino
    • 2
  • Olimpia Lombardi
    • 3
  1. 1.CONICET - IAFEBuenos AiresArgentina
  2. 2.CONICET - IAFE - IFIRBuenos AiresArgentina
  3. 3.CONICET - UBABuenos AiresArgentina

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