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

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

中国物理B ›› 2016, Vol. 25 ›› Issue (7): 70301-070301.doi: 10.1088/1674-1056/25/7/070301

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

Dušan Popov, Romeo Negrea, Miodrag Popov

1 Politehnica University Timisoara, Department of Physical Foundations of Engineering, 300223 Timisoara, Romania;
2 Politehnica University of Timisoara, Department of Mathematics, 300006 Timisoara, Romania;
3 Politehnica University Timisoara, Department of Architecture and Urban Planning, 300223 Timisoara, Romania

收稿日期:2015-12-02 出版日期:2016-07-05 发布日期:2016-07-05
通讯作者: Dušan Popov E-mail:dusan_popov@yahoo.co.uk,dusan.popov@upt.ro

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

Dušan Popov¹, Romeo Negrea², Miodrag Popov³

1 Politehnica University Timisoara, Department of Physical Foundations of Engineering, 300223 Timisoara, Romania;
2 Politehnica University of Timisoara, Department of Mathematics, 300006 Timisoara, Romania;
3 Politehnica University Timisoara, Department of Architecture and Urban Planning, 300223 Timisoara, Romania

Received:2015-12-02 Online:2016-07-05 Published:2016-07-05
Contact: Dušan Popov E-mail:dusan_popov@yahoo.co.uk,dusan.popov@upt.ro

摘要/Abstract

摘要： 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.

关键词: coherent states, operator technique, density operator

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.

Key words: coherent states, operator technique, density operator

中图分类号: (Formalism)

03.65.Ca

42.25.Kb (Coherence) 02.30.Vv (Operational calculus)

Dušan Popov, Romeo Negrea, Miodrag Popov. Gazeau-Klauder coherent states examined from the viewpoint of diagonal ordering operation technique[J]. 中国物理B, 2016, 25(7): 70301-070301.

Dušan Popov, Romeo Negrea, Miodrag Popov. Gazeau-Klauder coherent states examined from the viewpoint of diagonal ordering operation technique[J]. Chin. Phys. B, 2016, 25(7): 70301-070301.

参考文献 19

[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

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

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

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