Path integral quantisation and coherent states

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Abstract
Generalised coherent states are used in the quantum mechanical study of physical systems with homogeneous phase spaces, for which there is a group theoretical approach to quantisation. New sets of coherent states are introduced based on dynamical subalgebras and also with fiducial vectors in the rigged Hilbert space. The path integral expression for coherent state transition amplitudes is examined from a group theoretical point of view.