Coherent States, Kahler Manifolds and Quantum Dynamics
Applications of Kahler manifolds to the temporal dynamics of multilevel
quantum systems in external fields are considered. It is shown by using
the representation of coherent states (CS), the temporal evolution of
the state vector is reduced to the “classical” dynamics of the complex
parameters of the CS taking values in the coset space of the dynamical
group of the Hamiltonian.
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