“Stringy” coherent states inspired by generalized uncertainty principle

Coherent States with Fractional Revival property, that explicitly satisfy the Generalized Uncertainty Principle (GUP), have been constructed in the context of Generalized Harmonic Oscillator. The existence of such states is essential in motivating the GUP based phenomenological results present in th...

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Bibliographic Details
Published in:Physics letters. B 2012-05, Vol.711 (5), p.423-427
Main Authors: Ghosh, Subir, Roy, Pinaki
Format: Article
Language:English
Subjects:
Exact sciences and technology
Nuclear physics
Physics
The physics of elementary particles and fields
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Summary:Coherent States with Fractional Revival property, that explicitly satisfy the Generalized Uncertainty Principle (GUP), have been constructed in the context of Generalized Harmonic Oscillator. The existence of such states is essential in motivating the GUP based phenomenological results present in the literature which otherwise would be of purely academic interest. The effective phase space is Non-Canonical (or Non-Commutative in popular terminology). Our results have a smooth commutative limit, equivalent to Heisenberg Uncertainty Principle. The Fractional Revival time analysis yields an independent bound on the GUP parameter. Using this and similar bounds obtained here, we derive the largest possible value of the (GUP induced) minimum length scale. Mandel parameter analysis shows that the statistics is Sub-Poissonian. Correspondence Principle is deformed in an interesting way. Our computational scheme is very simple as it requires only first order corrected energy values and undeformed basis states.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2012.04.033