Journal ArticleDOI
Anticipations of the Geometric Phase
TLDR
In science we like to emphasize the novelty and originality of our ideas, but this is harmless enough, provided it does not blind us to the fact that concepts rarely arise out of nowhere as discussed by the authors.Abstract:
In science we like to emphasize the novelty and originality of our ideas. This is harmless enough, provided it does not blind us to the fact that concepts rarely arise out of nowhere. There is always a historical context, in which isolated precursors of the idea have already appeared. What we call “discovery” sometimes looks, in retrospect, more like emergence into the air from subterranean intellectual currents.read more
Citations
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Optics and interferometry with atoms and molecules
TL;DR: The development of wave optics for light brought many new insights into our understanding of physics, driven by fundamental experiments like the ones by Young, Fizeau, Michelson-Morley and others as mentioned in this paper.
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The geometric phase in molecular systems
TL;DR: In this article, the fundamental theory of the geometric phase is summarized in a way suitable for use in molecular systems treated by the Born-Oppenheimer approach, both Abelian and non-Abelian cases are considered.
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Manifestations of Berry's phase in molecules and condensed matter
TL;DR: In this article, the authors focus on the Berry's phases of the many-electron wave function and their observable consequences in molecular and condensed matter physics, and discuss the basic features of these phases in a generic quantum system.
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The Sagnac effect: correct and incorrect explanations
TL;DR: In this paper, it is shown that the Sagnac effect is a consequence of the relativistic law of velocity composition and that it can also be explained adequately within the framework of general relativity.
Journal ArticleDOI
Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond
Eliahu Cohen,Eliahu Cohen,Hugo Larocque,Frédéric Bouchard,Farshad Nejadsattari,Yuval Gefen,Ebrahim Karimi +6 more
TL;DR: The geometric phase is a deep and influential concept in modern physics and related sciences as mentioned in this paper, and it has become increasingly influential in many areas from condensed-matter physics and optics to high-energy and particle physics and from fluid mechanics to gravity and cosmology.
References
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Journal ArticleDOI
Quantal phase factors accompanying adiabatic changes
TL;DR: In this article, it was shown that the Aharonov-Bohm effect can be interpreted as a geometrical phase factor and a general formula for γ(C) was derived in terms of the spectrum and eigen states of the Hamiltonian over a surface spanning C.