Geometric Quantum mechanics -- Worked examples?

[andresB]

I recently found that formulation of quantum mechanics as a hamiltonian flow in a Kahler manifold, where there is a classical hamiltonian, hamilton equations, poisson brackets and etc. And while the mathematics in terms of differential geometry is all fine and good, I'm having problem finding application of the formalism to concrete examples.

So does anyone know worked examples in stuff likes the Hydrogen atom, the harmonic oscillator, spin precession, magnetic resonance or stuff like that?, you know, the classical problems of QM but solved in the formalism of the geometric formulation?

 

[A. Neumaier]

There is a survey on coherent states by Zhang, Feng, and Gilmore that contains many examples, including their Kaehler description.

 

[andresB]

Gotcha. I will take a look at it