Gauge- and Galilei-invariant Geometric Phases
type: Dataset
description: Neither geometric phases nor differences in geometric phases are generally invariant under time-dependent unitary transformations (unlike differences in total phases), in particular under local gauge transformations and Galilei transformations. (This was pointed out originally by Aharonov and Anandan, and in the case of Galilei transformations has recently been shown explicitly by Sjoeqvist, Brown and Carlsen.) In this paper, I introduce a phase, related to the standard geometric phase, for which phase differences are both gauge- and Galilei-invariant, and, indeed, invariant under transformations to linearly accelerated coordinate systems. I discuss in what sense this phase can also be viewed as geometric, what its relation is to earlier proposals for making geometric phases invariant under gauge or Galilei transformations, and what is its classical analogue. I finally apply this invariant phase to Berry's derivation of the Aharonov-Bohm effect.
issued: 2026-05-05T10:15:46.480683
language: en
modified: 2026-05-05T10:15:46.480688
contact point: Organization
  fn: CCSD
keyword: aharonov-bohm-effect
keyword: galilei-transformations
keyword: gauge-transformations
keyword: geometric-phases
keyword: infoeu-reposemanticspreprint
keyword: preprints-working-papers-
keyword: shshisphilsohumanities-and-social-scienceshistory-philosophy-and-sociology-of-sciences
landing page: https://shs.hal.science/halshs-00996312

Gauge- and Galilei-invariant Geometric Phases
type: Distribution
format: HTML
issued: 2026-05-05T10:15:46.483193
modified: 2026-05-05T10:15:46.470904
access URL: https://shs.hal.science/halshs-00996312

test_moissonnage_selune
type: Agent