U(2) ⊃ su*(2) ⊃ G symmetry adaptation for powers of E irreducible representations of point groups

European Physical Journal D

Volumn 30, Issue 2, 2004, Pages 181-199

  Michelot, F ^a   Rey, M ^b  

^a UNIVERSITÉ DE BOURGOGNE   (France)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

MOLECULAR SPECTROSCOPY; QUANTUM THEORY;

IRREDUCIBLE REPRESENTATIONS; POWER; REPRESENTATION THEORY; SYMMETRY ADAPTATION; TWO-DEGREE-OF-FREEDOM; TWO-DIMENSIONAL;

DEGREES OF FREEDOM (MECHANICS);

EID: 4344652062     PISSN: 14346060     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjd/e2004-00079-1     Document Type: Article

References (39)

1. J. Schwinger, in Quantum Theory of Angular Momentum, edited by L.C. Biedenharn, H. van Dam (Academic Press, New York, 1965), p. 229
2. B.G. Wybourne, Classical Lie Groups for Physicists (Wiley-Interscience, New York, 1974)
3. A. Frank, P. van Isaker, Algebraic Methods in Molecular and Nuclear Structure Physics (John Wiley & Sons, New York, 1994)
4. L.C. Biedenharn, J.D. Louck, Angular Momentum in Quantum Physics, edited by Gian-Carlo Rota (Addison -Weysley, Reading, Massachusets, 1981), Encyclopedia of Mathematics and its Applications, Vol. 8
5. R.R. Puri, Mathematical Methods of Quantum Optics, (Springer-Verlag, Berlin, 2001), Springer Series in Optical Sciences, Vol. 79
6. J.P. Champion, M. Loëte, G. Pierre, in Spectroscopy of the Earth's atmosphere and interstellar medium, edited by K. Narahari Rao, A. Weber (Academic Press, San Diego, 1992)
7. V. Boujut, F. Michelot, J. Mol. Spectrosc. 173, 237 (1995)
8. V. Boujut, Ph.D. thesis, University of Dijon, France (1996)
9. I.B. Bersuker, V.Z. Polinger, Vibronic Interactions in Molecules and Crystals (Springer-Verlag, Berlin, 1989)
10. M.S. Child, J. Molec. Spectrosc. 10, 357 (1963)
11. F. Michelot, B. Bobin, J. Moret-Bailly, J. Mol. Spectrosc. 76, 374 (1979)
12. F. Michelot, Thèse d'état, University of Dijon, France (1980)
13. U. Fano, G. Racah, Irreducible Tensorial Sets (Academic Press, New York, 1959)
14. A.R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, 1974)
15. W. Holmann III, L.C. Biedenharn, in Group Theory and Its Applications, edited by E.M. Loebl (Academic Press, New York, 1971), Vol. II, p. 1
16. J. Louck, J. Math. Phys. 6, 1786 (1965)
17. J. Louck, Amer. J. Phys. 38, 3 (1970)
18. M. Hamermesh, Group Theory and its Application to Physical Problems (Addison-Wesley, Reading, Massachusets, 1962)
19. V. Boudon, F. Michelot, J. Mol. Spectrosc. 165, 554 (1994)
20. E.B. Wilson, J.D. Decius, P.C. Cross, Molecular Vibrations (Mc Graw-Hill, New York, 1955)
21. B. Zhilinskii, The Irreducible Tensor Operator Method in Molecular Spectroscopy (in russian) (Moscow State University, Moscow, 1981)
22. J.C.A. Nikitin, V. Tyuterev, J. Mol. Spectrosc. 182, 160 (1997)
23. D.S. Schonland, Molecular Symmetry (D. Van Nostrand Company Ltd, London, 1965)
24. D. Papoušek, M.R. Aliev, Molecular Vibrational-Rotational Spectra (Elsevier Scientific Publishing, Amsterdam, 1982), Studies in Physical and Theoretical Chemistry, Vol. 17, p. 7
25. R. Englman, The Jahn-Teller Effect in Molecules and Crystals (John Wiley & Sons, New York, 1972)
26. M. Kellman, Chem. Phys. Lett. 99, 437 (1983)
27. M. Kellman, J. Chem. Phys. 81, 389 (1984)
28. F. Iachello, R.D. Levine, Algebraic Theory of Molecules (Oxford University Press, New York, 1995)
29. F. Michelot, J. Moret-Bailly, J. Phys. France 48, 51 (1987)
30. A. Arima, F. Iachello, Phys. Rev. Lett. 35, 1069 (1975)
31. F. Iachello, A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, 1987)
32. O. Castanos, E. Chacon, A. Frank, M. Moshinsky, J. Math. Phys. 20, 35 (1979)
33. F. Iachello, S. Oss, J. Chem. Phys. 104, 6956 (1996)
34. L. Pluchart, C. Leroy, A. Mourbat, J. Mol. Spectrosc. 218, 1 (2003)
35. J. Nagel, M. Moshinsky, J. Math. Phys. 6, 682 (1965)
36. M. Ciftan, L.C. Biedenharn, J. Math. Phys. 10, 221 (1969)
37. M.D. Gould, J. Math. Phys. 21, 444 (1980)
38. Yu.E. Perlin, M. Wagner, The Dynamical Jahn-Teller Effect in Localized Systems (North Holland Physics Publishing, Amsterdam, 1984), Modern Problems in Condensed Matter Sciences, Vol. 7
39. M. Bacci, Phys. Rev. B 17, 4495 (1978)