THE QUANTUM GEOMETRIC PHASE AS A TRANSFORMATION INVARIANT

Authors
MUKUNDA N
Citation
N. Mukunda, THE QUANTUM GEOMETRIC PHASE AS A TRANSFORMATION INVARIANT, Pramana, 49(1), 1997, pp. 33-40
Citations number
18
Categorie Soggetti
Physics
Journal title
Pramana → ACNP
ISSN journal
03044289
Volume
49
Issue
1
Year of publication
1997
Pages
33 - 40
Database
ISI
SICI code
0304-4289(1997)49:1<33:TQGPAA>2.0.ZU;2-E
Abstract
The kinematic approach to the theory of the geometric phase is outline d. This phase is shown to be the simplest invariant under natural grou ps of transformations on curves in Hilbert space. The connection to th e Bargmann invariant is brought out, and the case of group representat ions described.