Holstein-primakoff/bogoliubov transformations and the multiboson system

Fortschritte der Physik

Volumn 45, Issue 2, 1997, Pages 145-156

  Nieto, Michael Martin ^a,b   Truax, D Rodney ^c  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF ULM   (Germany)

^c UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031498458     PISSN: 00158208     EISSN: None     Source Type: Journal    
DOI: 10.1002/prop.2190450204     Document Type: Article

References (48)

1. E. SCHRÖDINGER, Naturwiss. 14, 664 (1926).
2. J. R. KLAUDER, Annals of Physics 11, 123 (1960); J. Math. Phys. 4, 1055 (1963).
3. J. R. KLAUDER, Annals of Physics 11, 123 (1960); J. Math. Phys. 4, 1055 (1963).
4. J. R. KLAUDER, J. Math. Phys. 4, 1058 (1963).
5. R. J. GLAUBER, Phys. Rev. 130, 2529 (1963).
6. E. C. G. SUDARSHAN, Phys. Rev. Lett. 10, 227 (1963).
7. J. R. KLAUDER and B.-S. SKAGERSTAM, Coherent States - Applications in Physics and Mathematical Physics (World Scientific, Singapore, 1985).
8. W.-M. ZHANG, D. H. FENG, and R. GILMORE, Rev. Mod. Phys. 62, 867 (1990).
9. R. A. BRANDT and O. W. GREENBERG, J. Math. Phys. 19, 1168 (1969).
10. M. M. NIETO and D. R. TRUAX, J. Math. Phys. to be published.
11. H. P. YUEN, Phys. Rev. A 13, 2226 (1976).
12. J. N. HOLLENHORST, Phys. Rev. D 19, 1669 (1979).
13. C. M. CAVES, J. S. THORNE, R. W. P. DREVER, V. D. SANDBERG, and M. ZIMMERMAN, Rev. Mod. Phys. 52, 341 (1980).
14. For a pedagogical review, see M. M. NIETO, in: Frontiers of Nonequilibrium Statistical Physics, eds. G. T. Moore and M. O. Scully (Plenum, New York, 1986) p. 287.
15. D. HAN, Y. S. KIM, and W. W. ZACHARY, eds., Workshop on Squeezed States and Uncertainty Relations, NASA Conference Publication 3135 (NASA, Washington. D.C., 1992).
16. M. M. NIETO, Quant. Semiclass. Optics 8, 1061 (1996).
17. T. HOLSTEIN and H. PRIMAKOFF, Phys. Rev. 58, 1098 (1940).
18. N. BOGOLUBOV, J. Phys. USSR 11, 292 (1947).
19. See. Eq. (4.11) of Ref. [13]; M. M. NIETO, Quantum Opt. 6, 9 (1994). The large round brackets
20. See. Eq. (4.11) of Ref. [13]; M. M. NIETO, Quantum Opt. 6, 9 (1994). The large round brackets in Eq. (5) should be squared.
21. M. M. NIETO and D. R. TRUAX, Phys. Rev. Lett, 71, 2843 (1993).
22. A. O. BARUT and L. GIRARDELLO, Commun. Math. Phys. 21, 41 (1971).
23. R. GILMORE, Lie Groups, Lie Algebras, and Some of Their Applications (Wiley, New York, 1974).
24. A. M. PERELOMOV, Commun. Math. Phys. 26, 222 (1972); Generalized Coherent States and Their Applications (Springer-Verlag, Berlin, 1986).
25. A. M. PERELOMOV, Commun. Math. Phys. 26, 222 (1972); Generalized Coherent States and Their Applications (Springer-Verlag, Berlin, 1986).
26. T. S. SANTHANAM, in: Einstein Centennial Week Symposium on Symmetries in Science, ed. by B. Gruber and R. S. Millman (Plenum, NY, 1980), p. 337.
27. G. S. AGARWAL and R. R. PURI, Phys. Rev. A 41, 3782 (1990); A. T. FILIPPOV, D. GANGOPADHYAY, and A. P. ISAEV, J. Phys. A 24, L63 (1991).
28. G. S. AGARWAL and R. R. PURI, Phys. Rev. A 41, 3782 (1990); A. T. FILIPPOV, D. GANGOPADHYAY, and A. P. ISAEV, J. Phys. A 24, L63 (1991).
29. J. KATRIEL and A. I. SOLOMON, J. Phys. A 24, 2093 (1991).
30. M. M. NIETO and L. M. SIMMONS, Jr., Phys. Rev. Lett. 41, 207 (1978); Phys. Rev. D 20, 1321 (1979), the first of a series concluding with M. M. NIETO, L. M. SIMMONS, Jr., and V. P. GUTSCHICK, Phys. Rev. D 23, 927 (1981).
31. M. M. NIETO and L. M. SIMMONS, Jr., Phys. Rev. Lett. 41, 207 (1978); Phys. Rev. D 20, 1321 (1979), the first of a series concluding with M. M. NIETO, L. M. SIMMONS, Jr., and V. P. GUTSCHICK, Phys. Rev. D 23, 927 (1981).
32. M. M. NIETO and L. M. SIMMONS, Jr., Phys. Rev. Lett. 41, 207 (1978); Phys. Rev. D 20, 1321 (1979), the first of a series concluding with M. M. NIETO, L. M. SIMMONS, Jr., and V. P. GUTSCHICK, Phys. Rev. D 23, 927 (1981).
33. M. M. NIETO, in Ref. [6], p. 429, gives a summary of this program.
34. R. A. FISHER, M. M. NIETO, and V. D. SANDBERG, Phys. Rev. D 29, 1107 (1984).
35. D. R. TRUAX, Phys. Rev. D 31, 1988 (1985).
36. G. D'ARIANO, M. RASETTI, and M. VADACCHINO, Phys. Rev. D 32, 1034 (1985).
37. J. KATRIEL, A. I. SOLOMON, G. D'ARIANO, and M. RASETTI, Phys. Rev. D 34, 2332 (1986).
38. G. D'ARIANO and M. RASETTI, Phys. Rev. D 35, 1239 (1987).
39. J. KATRIEL, M. RASETTI, and A. I. SOLOMON, Phys. Rev. D 35, 1248 (1987).
40. J. KATRIEL, A. I. SOLOMON, G. D'ARIANO, and M. RASETTI, J. Opt. Soc. Am. B 4, 1728 (1987).
41. G. D'ARIANO, S. MOROSI, M. RASETTI, J. KATRIEL, and A. I. SOLOMON, Phys. Rev. D 36, 2399
42. R. M. WILCOX, J. Math. Phys. 8, 962 (1967).
43. M. RASETTI, Int. J. Theor. Phys. 5, 377 (1972).
44. M. M. NIETO and D. R. TRUAX, Phys. Lett. A 208, 8 (1995).
45. V. V. DODONOV, I. A. MALKIN, and V. I. MAN'KO, Physica 72, 597 (1974).
46. M. M. NIETO, eprint atom-ph/9605010 (to be pulished).
47. J. KLAUDER has suggested this possibility.
48. M. M. NIETO, Phys. Lett. A 219, 180 (1996).