Gazeau-Klauder coherent states examined from the viewpoint of diagonal ordering operation technique

doi:10.1088/1674-1056/25/7/070301

Abstract In this paper we investigate the Gazeau-Klauder coherent states using a newly introduced diagonal ordering operation technique, in order to examine some of the properties of these coherent states. The results coincide with those obtained from other purely algebraic methods, but the calculations are greatly simplified. We apply the general theory to two cases of Gazeau-Klauder coherent states: pseudoharmonic as well as the Morse oscillators.

Keywords: coherent states operator technique density operator

Received: 02 December 2015
Accepted manuscript online:

PACS:	03.65.Ca	(Formalism)
	42.25.Kb	(Coherence)
	02.30.Vv	(Operational calculus)

Corresponding Authors: Dušan Popov
E-mail: dusan_popov@yahoo.co.uk,dusan.popov@upt.ro

Cite this article:

Dušan Popov, Romeo Negrea, Miodrag Popov Gazeau-Klauder coherent states examined from the viewpoint of diagonal ordering operation technique 2016 Chin. Phys. B 25 070301

[1]	Popov D and Popov M 2015 Phys. Scr. 90 035101
[2]	Blasiak P, Horzela A, Penson K A, Solomon A I and Duchamp G H E 2007 Am. J. Phys. 75 639
[3]	Fan H 1999 Commun. Theor. Phys. 31 285
[4]	Gazeau J P and Klauder J R 1999 J. Phys. A: Math. Gen. 32 123
[5]	Antoine J P, Gazeau J P, Monceau P, Klauder J R and Penson K A 2001 J. Math. Phys. 42 2349
[6]	Klauder J R, Penson K A and Sixdeniers J M 2001 Phys. Rev. A 64 013817
[7]	Mathai A M and Saxena R K 1973 Lecture Notes in Mathematics, Vol. 348, Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences (Berlin: Springer)
[8]	Husimi K 1940 Proc. Phys. Math. Soc. Jpn. 22 264
[9]	Klauder J R and Sudarshan E C G 1968 Fundamentals of Quantum Optics (New York: Benjamin)
[10]	Vogel W and Welsch D G 2006 Quantum Optics (Weinheim: Wiley)
[11]	Popov D 2001 J. Phys. A: Math. Gen. 34 5283
[12]	Popov D, Sajfert V and Zaharie I 2008 Physica A 387 4459
[13]	Proudnikov A P, Brychkov Yu A and Marichev O I 1981 Integrals and Series, Elementary Functions (Nauka, Moscow) in Russian
[14]	Morse P M 1929 Phys. Rev. A 34 57
[15]	Roy B and Roy P 2002 Phys. Lett. A 296 187
[16]	Popov D 2003 Phys. Lett. A 316 369
[17]	http://functions.wolfram.com/GammaBetaErf/Gamma/16/01/01/
[18]	Popov D, Dong S H and Popov M 2015 Annals of Physics 362 449
[19]	Popov D, Sajfert V, Šetrajčić J P and Pop N 2014 Quantum Matter 3 388

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Gazeau-Klauder coherent states examined from the viewpoint of diagonal ordering operation technique

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