A formal Fedosov-type quantization of the standard contact seven-sphere converges, at Planck constants hbar=1/m, to finite-dimensional unitary representations of U(2,H) and yields quantum dynamical systems on subbundles.
Souriau,Structure of dynamical systems: A symplectic view of physics, vol
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Seven Sphere Quantization
A formal Fedosov-type quantization of the standard contact seven-sphere converges, at Planck constants hbar=1/m, to finite-dimensional unitary representations of U(2,H) and yields quantum dynamical systems on subbundles.