ABCD rule involved in the product of general SU(1,1) squeezing operators and quantum states' Fresnel transformation

Optics Communications

Volumn 281, Issue 6, 2008, Pages 1629-1634

  Fan, Hong Yi ^a   Hu, Li Yun ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

03.65.Ud; 42.25.Bs; 42.50. p

Indexed keywords

NUMBER THEORY; QUANTUM OPTICS; THEOREM PROVING;

FRESNEL TRANSFORMATION; NUMBER STATES;

OPTICAL COMMUNICATION;

EID: 38549146407     PISSN: 00304018     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.optcom.2007.11.033     Document Type: Article

References (25)

1. Fan H.Y., and Lu H.L. Opt. Commun. 258 (2006) 51
2. Crasser O., Mack H., and Schleich W.P. Fluct. Noise Lett. 4 (2004) L43 or Available from:
3. Gerrard A., and Burch J.M. Introduction to Matrix Method in Optics (1975), Wiley, London
4. Glauber R.J. Phys. Rev. 130 (1963) 2529
5. Glauber R.J. Phys. Rev. 131 (1963) 2766
6. Klauder J.R., and Sudarshan E.C.G. Fundamentals of Quantum Optic (1968), W.A. Benjamin, New York
7. Fan H.Y., Lu H.L., and Fan Y. Ann. Phys. 321 (2006) 480
8. Fan H.Y. J. Opt. B: Quantum Semiclass. Opt. 5 (2003) R147
9. Wünsche A. J. Opt. B: Quantum Semiclass. Opt. 1 (1999) R11
10. Walls D.F. Nature 324 (1986) 210
11. For a review, see. Dodonov V.V. J. Opt. B: Quantum Semiclass. Opt. 4 (2002) R1
12. Schleich W.P. Quantum Optics in Phase Space (2001), John Wiley-VCH
13. Loudon R., and Knight P.L. J. Mod. Opt. 34 (1987) 709
14. Mandel L., and Wolf E. Optical Coherence and Quantum Optics (1995), Cambridge University Press, Cambridge
15. Fan H.Y., and Chen J.H. Commun. Theor. Phys. (Beijing, China) 40 (2003) 589
16. Fan H.Y., and Klauder J.R. Phys. Rev. A 49 (1994) 704
17. Fan H.Y. Int. J. Mod. Phys. 18 (2004) 1387
18. Fan H.Y., Jiang N.Q., and Lu H.L. Opt. Commun. 234 (2004) 277
19. Fan H.Y., and Ye X. Phys. Rev. A 51 (1995) 3343
20. Fan H.Y., and Lu H.L. Phys. Lett. A 334 (2005) 132
21. H.Y. Fan, Representation and Transformation Theory in Quantum Mechanics -Progress of Dirac's symbolic method, Shanghai Scientific and Technical Publishers, Shanghai, 1997.
22. Erdelyi A. Higher Transcendental Functions, The Bateman Manuscript Project (1953), McGraw Hill
23. Fan H.Y., and Ye X. Phys. Lett. A 175 (1993) 387
24. Fan H.Y., and Lu H.L. Opt. Lett. 28 (2003) 680
25. Fan H.Y., and Lu H.L. Opt. Lett. 28 (2003) 2177