"Stringy" Coherent States Inspired By Generalized Uncertainty Principle

Abstract

In this Letter we have explicitly constructed Generalized Coherent States for the Non-Commutative Harmonic Oscillator that directly satisfy the Generalized Uncertainty Principle (GUP). Our results have a smooth commutative limit. The states show fractional revival which provides an independent bound on the GUP parameter. Using this and similar bounds we derive the largest possible value of the (GUP induced) minimum length scale. Mandel parameter analysis shows that the statistics is Sub-Poissionian.

Substantial changes with exact and corrected equations given, no change in basic conclusions, one figure to be supplied on request, to appear in Phys.Lett.B