- 91-58 Uhlmann A.
- PARALLEL TRANSPORT OF PHASES
(45K, TeX)
Nov 15, 91
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Abstract. General features of the concept of Berry's phase are
reported and extended to parallel transport based on curves
of density operators. Product integral representations and
a natural connection is introduced.
The paper is published in: DIFFERENTIAL GEOMETRY, GROUP REPRESENTATION,
AND QUANTIZATION, J.Hennig, W.L\"ucke, J.Tolar eds.,
Lecture Notes in Physics {\bf 379}, 565-583, Springer-Verlag
However, the numbering of the equations is different, and some
miswritten equations have been corrected. (Mainly in chapter 3:
After the definition of the geometric mean, all exponente one over
two have to be changed to one, and the less or equal sign in the
first line of chapter 3 is reversed.)
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