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http://hdl.handle.net/2289/1020| 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. |
| URI: | http://hdl.handle.net/2289/1020 |
| ISSN: | 0304-4289 |
| Copyright: | Indian Academy of Sciences, Bangalore, India. |
| Appears in Collections: | Research Papers (TP) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1997 Pramana V48 p959.pdf | 9p. | 449.2 kB | Adobe PDF | View/Open |
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