INTEGRABLE SYSTEMS ON FLAG MANIFOLD AND COHERENT-STATE PATH-INTEGRAL

Authors
KIM MH OH P
Citation
Mh. Kim et P. Oh, INTEGRABLE SYSTEMS ON FLAG MANIFOLD AND COHERENT-STATE PATH-INTEGRAL, Modern physics letters A, 10(25), 1995, pp. 1847-1855
Citations number
47
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
10
Issue
25
Year of publication
1995
Pages
1847 - 1855
Database
ISI
SICI code
0217-7323(1995)10:25<1847:ISOFMA>2.0.ZU;2-A
Abstract
We construct integrable models on flag manifold by using the symplecti c structure explicitly given in the Bruhat coordinatization of flag ma nifold. They are noncommutative integrable and some of the conserved q uantities are given by the Casimir invariants. We quantize the systems using the coherent state path-integral technique and find the exact e xpression for the propagator for some special cases.