"Stringy" Coherent States Inspired By Generalized Uncertainty Principle
High Energy Physics - Theory
2015-05-30 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Quantum Physics
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.
Cite
@article{arxiv.1110.5136,
title = {"Stringy" Coherent States Inspired By Generalized Uncertainty Principle},
author = {Subir Ghosh and Pinaki Roy},
journal= {arXiv preprint arXiv:1110.5136},
year = {2015}
}
Comments
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