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Title: The geometric phase and ray space isometries
Authors: Samuel, J.
Keywords: Symmetry in quantum mechanics
Geometric phase
Issue Date: May-1997
Publisher: Indian Academy of Sciences, Bangalore, India.
Citation: Pramana, 1997, Vol. 48, p959-967.
Abstract: We study the behaviour of the geometric phase under isometries of the ray space. This leads to a better understanding of a theorem first proved by Wigner: isometries of the ray space can always be realised as projections of unitary or anti-unitary transformations on the Hilbert space. We suggest that the construction involved in Wigner's proof is best .viewed as an use of the Pancharatnam connection to 'lift' a ray space isometry to the Hilbert space.
ISSN: 0304-4289
Copyright: Indian Academy of Sciences, Bangalore, India.
Appears in Collections:Research Papers (TP)

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