The Geometric Phase and Ray Space Isometries
نویسنده
چکیده
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 byWigner: 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. PACS: 03.65.Bz
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تاریخ انتشار 1997