Quantum Mechanics of Integrable Spins on Coadjoint Orbits

Details Quantum Mechanics of Integrable Spins on Coadjoint Orbits Quantum Mechanics of Integrable Spins on Coadjoint Orbits

1995-10-12

arxiv.org/abs/hep-th/9510076v2

J.KoreanPhys.Soc.29:409-414,1996

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Revtex, revised virsion

Scientific paper

We investigate classical integrable spins defined on the reduced phase spaces of coadjoint orbits of $G= SU(N)$ and study quantum mechanics of them. After discussions on a complete set of commuting functions on each orbit and construction of integrable spin models on the flag manifolds, we quantize a concrete example of integrable spins on SU(3) flag manifold in the coherent state quantization scheme and solve explicitly the time-dependent Schr\"odinger equation.

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