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Quantum Mechanics of Integrable Spins on Coadjoint Orbits

Sang-Ok Hahn·Phillial Oh·Myung-Ho Kim
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Abstract

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 Schrödinger equation.

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Sang-Ok Hahn, Phillial Oh, Myung-Ho Kim. 1996-04-17. Quantum Mechanics of Integrable Spins on Coadjoint Orbits. https://arxiv.org/abs/hep-th/9510076

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