Frame quantization or exploring the world like a starfish
given at flame12 (07.05.12 11:35)
Starting with the example of a five-fold frame for the plane (e.g. sea star), we explain the powerful role that coherent states
(CS) or frames can play in quantizing any set equipped with a measure. This CS quantization is illustrated with the standard case involving Glauber CS and yielding the canonical quantization, and with CS on the circle, leading in particular to quantization of action and angle variables. We then describe a general method of quantization of (un-)bounded motions with (pseudo-)action-angle coherent states and based on a probabilistic Bayesian approach.