Authors
Holger Lyre
Otto von Guericke Universität, Magdeburg
Abstract
The paper aims to spell out the relevance of the Berry phase in view of the question what the minimal mathematical structure is that accounts for all observable quantum phenomena. The question is both of conceptual and of ontological interest. While common wisdom tells us that the quantum structure is represented by the structure of the projective Hilbert space, the appropriate structure rich enough to account for the Berry phase is the U(1) bundle over that projective space. The Berry phase is ultimately rooted in the curvature of this quantum bundle, it cannot be traced back to the Hamiltonian dynamics alone. This motivates the ontological claim in the final part of the paper that, if one strives for a realistic understanding of quantum theory including the Berry phase, one should adopt a form of ontic structural realism.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1016/j.shpsb.2014.08.013
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 63,133
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

On the Explanatory Role of Mathematics in Empirical Science.Robert W. Batterman - 2010 - British Journal for the Philosophy of Science 61 (1):1-25.
Holism and Structuralism in U(1) Gauge Theory.Holger Lyre - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (4):643-670.
Group Structural Realism.Bryan W. Roberts - 2011 - British Journal for the Philosophy of Science 62 (1):47-69.
Falling Cats, Parallel Parking, and Polarized Light.Robert W. Batterman - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (4):527-557.
The Priority of Internal Symmetries in Particle Physics.Aharon Kantorovich - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (4):651-675.

View all 7 references / Add more references

Citations of this work BETA

Observables, Disassembled.Bryan W. Roberts - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 63:150-162.

Add more citations

Similar books and articles

Geometry and Structure of Quantum Phase Space.Hoshang Heydari - 2015 - Foundations of Physics 45 (7):851-857.
Quantum Thermometry.Robert B. Mann & Eduardo Martín-Martínez - 2014 - Foundations of Physics 44 (5):492-511.
Quantum Blobs.Maurice A. de Gosson - 2013 - Foundations of Physics 43 (4):440-457.

Analytics

Added to PP index
2015-03-10

Total views
18 ( #585,819 of 2,448,286 )

Recent downloads (6 months)
1 ( #450,727 of 2,448,286 )

How can I increase my downloads?

Downloads

My notes