Realizations of SU (1, 1) by boson operators with application to phase states

Acta Physica Slovaca

Volumn 49, Issue 4, 1999, Pages 771-782

  Wunsche A ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033425331     PISSN: 03230465     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (35)

1. H. Weyl: Gruppentheorie und Quantenmechanik (Hirzel, Leipzig, 1928)
2. I.A. Malkin, V.I. Man'ko: Dynamical Symmetry and Coherent States of Quantum Systems, in Russian (Nauka, Moscow, 1979)
3. J.R. Klauder, Bo-St. Skagerstam: Coherent States (World Scientific, Singapore, 1985)
4. A.M. Perelomov: Generalized Coherent States and Their Application (Springer-Verlag, Berlin, 1986)
5. Y.S. Kim, M.E. Noz: Phase Space Picture of Quantum Mechanics (World Scientific, Singapore, 1991)
6. Fan Hongyi: Representation and Transformation Theory in Quantum Mechanics, in Chinese (Shanghai Scientific and Technical Publishers, Shanghai 1997)
7. A.M. Perelomov: Commun. Math. Phys. 26 (1972) 222, republished in the collection of papers [3] on pp. 281-295.
8. A.M. Perelomov: Uspekhi Fiz. Nauk 20 (1977) 703
9. A.O. Barut, L. Girardello: Commun. Math. Phys. 21 (1971) 41, republished in the collection of papers [3] on pp. 255-269.
10. V.V. Dodonov, I.A. Malkin, V.I. Man'ko: Physica 72 (1974) 597
11. C.C. Gerry: J. Phys. A: Math. Gen. 16 (1983) L1
12. J. Katriel, A.I. Solomon, G. D'Ariano, M. Rasetti: Phys. Rev. D34 (1986) 2332
13. G.M. D'Ariano, M.G. Rasetti, J. Katriel, A.I. Solomon: in Squeezed States and Nonclassical Light, edited by P. Tombesi and E.R. Pike (Plenum Press, New York, 1989) p. 301
14. A. Vourdas: Phys.Rev. A 41 3 (1990) 165
15. V. Bužek: J. Modern Opt. 37 (1990) 303
16. A. Vourdas: Phys.Rev. A 45 (1992) 1943
17. A. Vourdas: Phys.Rev. A 46 (1992) 442
18. A. Vourdas: Physica Scripta 48 (1993) 94
19. C. Brif: Quantum Semiclass. Opt. 8 (1995) 803
20. C. Brif: Annals Phys. (N.Y) 251 (1996) 180
21. A. Vourdas: Phys.Rev. A 50 (1994) 3331
22. A. Vourdas: Phys.Rev. A 51 (1995) 2353
23. A. Vourdas, A. Wünsche: J. Phys. A: Math. Gen. 31 (1998) 9341
24. A. Wünsche: Ann. Phys. (Leipzig) 1 (1992) 181
25. A. Wünsche: in Second International Workshop on Squeezed States and Uncertainty Relations, Moscow 1992, NASA Conference Publication 3219 (Goddard Space Flight Center, Greenbelt, Mary land, 1993) p. 277
26. A. Lukš, V. Peřinova: Physica Scripta 48 (1993) 94
27. F. London: Zeitschr. für Physik 40 (1926) 193
28. L. Susskind, J. Glogower: Physics 1 (1964) 49
29. P. Carruthers, M. Nieto: Rev. Mod. Phys. 40 (1968) 411
30. M.M. Nieto: Physica Scripta 48 (1993) 5
31. B.M. Garraway, P.L. Knight: Physica Scripta 48 (1993) 66
32. A. Bandilla, H. Paul, H.-H. Ritze: Quantum Opt. 3 (1991) 267
33. A. Wünsche: in Forth EQEC, Technical Digest, Vol. 2 (Firenze, 1993) p.810
34. H. Bateman, A. Erdélyi: Higher Transcendental Functions, Vol. II (McGraw-Hill Book, New York, 1953)
35. G.N. Watson: A Treatise on the Theory of Bessel Functions (Cambridge University Press, Cambridge, 1980)