Fetching the paper…

Reading the bibliography…

2011

"Stringy" Coherent States Inspired By Generalized Uncertainty Principle

Ghosh, Subir, Roy, Pinaki

Original
PDF
Post on X

Understand

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.

"Stringy" Coherent States Inspired By Generalized Uncertainty Principle · Around

Built on

V.G.Drinfeld, Proceedings of the International Congress of Mathernaticians, Berkeley, California, 1986 (Ameri- can Mathematical Society, Providence, 1987), p. 798
1987
Earlier work this paper cites.
S.Doplicher, K.Fredenhagen and J.E.Roberts, Phys.Lett. B331 (1994) 39
1994
Earlier work this paper cites.
D.Amati, M.Ciafaloni, G.Veneziano, Phys.Lett. B216 (1989) 41; M.Maggiore, Phys.Lett. B304 (1993) 65; L.J. Garay, Int.J.Mod.Phys. A10 (1995) 145 (arxiv: gr-qc/9403008)
1995
Earlier work this paper cites.
J.R.Klauder, J.Math.Phys. 4 (1963) 1055; J.R.Klauder and J.-P.Gazeau, J.Phys. A32 (1999) 123
1999
Earlier work this paper cites.

Similar

J.Katriel and A.I.Solomon Phys.Rev. A 49 (1994)5149; J.Phys. A 24 (1999) L1139
1999
Cited alongside, same era.
J.-P. Antoine, J. -P. Gazeau, P. Monceau, J.R. Klauder and K.A. Penson, J.Math.Phys. 42 (2001) 2349
2001
Cited alongside, same era.
G.Amelino-Camelia Symmetry 2 (2010) 230 (arXiv:1003.3942); S.Ghosh and P.Pal, Phys.Rev.D75 (2007)105021, (arXiv:hep-th/0702159)
Original
2007
Cited alongside, same era.
S.Das and E.C.Vagenas, Phys.Rev.Lett. 101 (2008) 221301 (arXiv:0810.5333)
Original
2008
Cited alongside, same era.
J. Ben Geloun and F.G.Scholtz, arXiv:0901.3315v1
Original
Cited in the paper.
J.Kaiser, arxiv: 0910.0352
Cited in the paper.
S.Ghosh, Coherent States for the Non-Linear Harmonic Oscillator
Original
Cited in the paper.

Then

P.Nicolini, Int. J. Mod. Phys. A 24 (2009) 1229
2009
Later among the works it cites.
F.Brau, J.Phys.A 32 (1999)7691 (arxiv: quant-ph/9905033); F.Scardigli, R.Casadio, Class.Quant.Grav. 20 (2003) 3915 (arXiv:hep-th/0307174); S.Ghosh and S.Mignemi, Int.J.Theor.Phys.50 (2011) 1803 (arXiv:1003.0285)
Original
2011
Closest in time.
A.Kempf, G.Mangano and R.B.Mann, Phys.Rev. D52 (1995) 1108 (arxiv: 9412167); A. Kempf, J.Phys. A30 (1997) 2093 (arxiv: hep-th/9604045)
2093
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…