A generalization of the canonical coherent states a quantum harmonic oscillator has been performed by requiring conditions normalizability, continuity in label, and resolution identity operator with positive weight function. Relying on this approach, present scenario, are generalized over or finite dimensional Fock space oscillator. class is determined such that corresponding distributions numb...

We apply a quantum version of dimensional reduction to Gaussian coherent states in Bargmann space obtain squeezed on complex projective spaces. This leads definition family spin with excellent semi-classical properties, governed by symbol calculus. prove semiclassical norm estimates and propagation result.

Let $$H_k$$ , $$k\in {\mathbb {N}}$$ be the Hilbert spaces of geometric quantization on a Kähler manifold M. With two points in M we associate Bell-type state $$b_k \in H_k\otimes H_k$$ . When is compact or when $${\mathbb {C}}^n$$ provide positive lower bounds for entanglement entropy $$b_k$$ (asymptotic k, as $$k\rightarrow \infty $$ ).