Macro-deformed coherent states and theq-analogue quantized field
William C Kimler IV, Charles A. Nelson · Journal of Physics A Mathematical and General · 1997
The q-analogue coherent states are used to identify some of the canonical physical properties of the single-mode of the q-analogue quantized radiation field. Macro-deformed coherent states (CSs) with striking number and phase signatures are found to arise as , equivalently as . In particular, the CS expectation value of the mean number of particles, where is a `stair function' with equally spaced, integer steps as increases. Macro q-deformation provides a simple model with one region which simultaneously exhibits features from two distinct regions in the well known bosonic case: the quantum mechanical limit with occupation number states and the semi-classical limit with coherent states where |z| is large. The role of the deformation parameter `q' is to enable a smooth interpolation between the classic bosonic CSs (q = 1) and the fermionic CSs ( or 0).