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arXiv · hep-th/9504001

Integrable Systems on Flag Manifold and Coherent State Path Integral

Myung-Ho Kim·Phillial Oh
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Abstract

We construct integrable models on flag manifold by using the symplectic structure explicitly given in the Bruhat coordinatization of flag manifold. They are non-commutative integrable and some of the conserved quantities are given by the Casimir invariants. We quantize the systems using the coherent state path integral technique and find the exact expression for the propagator for some special cases.

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Myung-Ho Kim, Phillial Oh. 1995-06-27. Integrable Systems on Flag Manifold and Coherent State Path Integral. https://doi.org/10.1142/s021773239500199x

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