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2011

Coherent States for the Non-Linear Harmonic Oscillator

Ghosh, Subir

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Wave packets for the Quantum Non-Linear Oscillator are considered in the Generalized Coherent State framerwork.

To first order in the non-linearity parameter the Coherent State behaves very similarly to its classical counterpart.
The position expectation value oscillates in a simple harmonic manner.
The energy-momentum uncertainty relation is time independent as in a harmonic oscillator.

Coherent States for the Non-Linear Harmonic Oscillator · Around

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Earlier work this paper cites.

Similar

J. F. Carinena, M. F. Ranada, M. Santander, Ann.Phys.322:434,2007 (arXiv:math-ph/0604008); J.F. Carinena, M.F. Ranada, M. Santander, Rept.Math.Phys. 54 (2004) 285 (arXiv:hep-th/0501106)
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Cited alongside, same era.
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Original
Cited in the paper.

Then

R. Koc and M. Koca, J. Phys. A 36, (2003) 8105–8112; A. de Souza Dutra, M. Hott and C.A.S. Almeida, Europhys. Lett. 62, (2003) 8–13; C. Quesne and V.M. Tkachuk, J. Phys. A 37 (2004) 4267–4281; I.O. Vakarchuk, J. Phys. A 38, (2005) 4727–4734; B. Roy and P. Roy, Phys. Lett. A 340, (2005) 70; B. Midya, J.Phys. A 44 (2011) 435306 (arXiv:1108.4095); B. Midya and B. Roy, Phys. Lett. A 373 (2009) 4117-4122 (arXiv:0910.1209)
Original
2009
Later among the works it cites.
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); 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); S.Das and E.C.Vagenas, Phys.Rev.Lett. 101 (2008) 221301 (arXiv:0810.5333); 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)
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2011
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