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See for example: T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984); M. V. Berry and M. Robnik, J. Phys. A 17, 2413 (1984); T. S. Ishikawa and T. Yukawa, Phys. Rev. Lett. 54, 1617 (1985); Th. Zimmermann, H. Köppel, and L. S. Cederbaum, J. Chem. Phys. 91, 3934 (1989); T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 193, 472 (1989); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1992); L. Benet, T. H. Seligman, and H. A. Weidenmüller, ibid. 71, 529 (1993); J.-Z. Ma, J. Phys. Soc. Jpn. 64, 4059 (1995); E. Brézin and A. Zee, Nucl. Phys. B 453, 531 (1995); F. Mezzadri and A. Scotti, Nuovo Cimento Soc. Ital. Fis. B, 112B, 543 (1997); Guozhen Wu, Chem. Phys. Lett. 265, 449 (1997).
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Phys. Rev. Lett.
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Seligman, T.H.1
Verbaarschot, J.J.M.2
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65
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0000575227
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See for example: T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984); M. V. Berry and M. Robnik, J. Phys. A 17, 2413 (1984); T. S. Ishikawa and T. Yukawa, Phys. Rev. Lett. 54, 1617 (1985); Th. Zimmermann, H. Köppel, and L. S. Cederbaum, J. Chem. Phys. 91, 3934 (1989); T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 193, 472 (1989); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1992); L. Benet, T. H. Seligman, and H. A. Weidenmüller, ibid. 71, 529 (1993); J.-Z. Ma, J. Phys. Soc. Jpn. 64, 4059 (1995); E. Brézin and A. Zee, Nucl. Phys. B 453, 531 (1995); F. Mezzadri and A. Scotti, Nuovo Cimento Soc. Ital. Fis. B, 112B, 543 (1997); Guozhen Wu, Chem. Phys. Lett. 265, 449 (1997).
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Berry, M.V.1
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4243337848
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See for example: T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984); M. V. Berry and M. Robnik, J. Phys. A 17, 2413 (1984); T. S. Ishikawa and T. Yukawa, Phys. Rev. Lett. 54, 1617 (1985); Th. Zimmermann, H. Köppel, and L. S. Cederbaum, J. Chem. Phys. 91, 3934 (1989); T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 193, 472 (1989); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1992); L. Benet, T. H. Seligman, and H. A. Weidenmüller, ibid. 71, 529 (1993); J.-Z. Ma, J. Phys. Soc. Jpn. 64, 4059 (1995); E. Brézin and A. Zee, Nucl. Phys. B 453, 531 (1995); F. Mezzadri and A. Scotti, Nuovo Cimento Soc. Ital. Fis. B, 112B, 543 (1997); Guozhen Wu, Chem. Phys. Lett. 265, 449 (1997).
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Phys. Rev. Lett.
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Ishikawa, T.S.1
Yukawa, T.2
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67
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See for example: T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984); M. V. Berry and M. Robnik, J. Phys. A 17, 2413 (1984); T. S. Ishikawa and T. Yukawa, Phys. Rev. Lett. 54, 1617 (1985); Th. Zimmermann, H. Köppel, and L. S. Cederbaum, J. Chem. Phys. 91, 3934 (1989); T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 193, 472 (1989); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1992); L. Benet, T. H. Seligman, and H. A. Weidenmüller, ibid. 71, 529 (1993); J.-Z. Ma, J. Phys. Soc. Jpn. 64, 4059 (1995); E. Brézin and A. Zee, Nucl. Phys. B 453, 531 (1995); F. Mezzadri and A. Scotti, Nuovo Cimento Soc. Ital. Fis. B, 112B, 543 (1997); Guozhen Wu, Chem. Phys. Lett. 265, 449 (1997).
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See for example: T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984); M. V. Berry and M. Robnik, J. Phys. A 17, 2413 (1984); T. S. Ishikawa and T. Yukawa, Phys. Rev. Lett. 54, 1617 (1985); Th. Zimmermann, H. Köppel, and L. S. Cederbaum, J. Chem. Phys. 91, 3934 (1989); T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 193, 472 (1989); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1992); L. Benet, T. H. Seligman, and H. A. Weidenmüller, ibid. 71, 529 (1993); J.-Z. Ma, J. Phys. Soc. Jpn. 64, 4059 (1995); E. Brézin and A. Zee, Nucl. Phys. B 453, 531 (1995); F. Mezzadri and A. Scotti, Nuovo Cimento Soc. Ital. Fis. B, 112B, 543 (1997); Guozhen Wu, Chem. Phys. Lett. 265, 449 (1997).
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Ann. Phys. (N.Y.)
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69
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See for example: T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984); M. V. Berry and M. Robnik, J. Phys. A 17, 2413 (1984); T. S. Ishikawa and T. Yukawa, Phys. Rev. Lett. 54, 1617 (1985); Th. Zimmermann, H. Köppel, and L. S. Cederbaum, J. Chem. Phys. 91, 3934 (1989); T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 193, 472 (1989); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1992); L. Benet, T. H. Seligman, and H. A. Weidenmüller, ibid. 71, 529 (1993); J.-Z. Ma, J. Phys. Soc. Jpn. 64, 4059 (1995); E. Brézin and A. Zee, Nucl. Phys. B 453, 531 (1995); F. Mezzadri and A. Scotti, Nuovo Cimento Soc. Ital. Fis. B, 112B, 543 (1997); Guozhen Wu, Chem. Phys. Lett. 265, 449 (1997).
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Phys. Rev. Lett.
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See for example: T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984); M. V. Berry and M. Robnik, J. Phys. A 17, 2413 (1984); T. S. Ishikawa and T. Yukawa, Phys. Rev. Lett. 54, 1617 (1985); Th. Zimmermann, H. Köppel, and L. S. Cederbaum, J. Chem. Phys. 91, 3934 (1989); T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 193, 472 (1989); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1992); L. Benet, T. H. Seligman, and H. A. Weidenmüller, ibid. 71, 529 (1993); J.-Z. Ma, J. Phys. Soc. Jpn. 64, 4059 (1995); E. Brézin and A. Zee, Nucl. Phys. B 453, 531 (1995); F. Mezzadri and A. Scotti, Nuovo Cimento Soc. Ital. Fis. B, 112B, 543 (1997); Guozhen Wu, Chem. Phys. Lett. 265, 449 (1997).
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See for example: T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984); M. V. Berry and M. Robnik, J. Phys. A 17, 2413 (1984); T. S. Ishikawa and T. Yukawa, Phys. Rev. Lett. 54, 1617 (1985); Th. Zimmermann, H. Köppel, and L. S. Cederbaum, J. Chem. Phys. 91, 3934 (1989); T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 193, 472 (1989); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1992); L. Benet, T. H. Seligman, and H. A. Weidenmüller, ibid. 71, 529 (1993); J.-Z. Ma, J. Phys. Soc. Jpn. 64, 4059 (1995); E. Brézin and A. Zee, Nucl. Phys. B 453, 531 (1995); F. Mezzadri and A. Scotti, Nuovo Cimento Soc. Ital. Fis. B, 112B, 543 (1997); Guozhen Wu, Chem. Phys. Lett. 265, 449 (1997).
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See for example: T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984); M. V. Berry and M. Robnik, J. Phys. A 17, 2413 (1984); T. S. Ishikawa and T. Yukawa, Phys. Rev. Lett. 54, 1617 (1985); Th. Zimmermann, H. Köppel, and L. S. Cederbaum, J. Chem. Phys. 91, 3934 (1989); T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 193, 472 (1989); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1992); L. Benet, T. H. Seligman, and H. A. Weidenmüller, ibid. 71, 529 (1993); J.-Z. Ma, J. Phys. Soc. Jpn. 64, 4059 (1995); E. Brézin and A. Zee, Nucl. Phys. B 453, 531 (1995); F. Mezzadri and A. Scotti, Nuovo Cimento Soc. Ital. Fis. B, 112B, 543 (1997); Guozhen Wu, Chem. Phys. Lett. 265, 449 (1997).
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See for example: T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984); M. V. Berry and M. Robnik, J. Phys. A 17, 2413 (1984); T. S. Ishikawa and T. Yukawa, Phys. Rev. Lett. 54, 1617 (1985); Th. Zimmermann, H. Köppel, and L. S. Cederbaum, J. Chem. Phys. 91, 3934 (1989); T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 193, 472 (1989); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1992); L. Benet, T. H. Seligman, and H. A. Weidenmüller, ibid. 71, 529 (1993); J.-Z. Ma, J. Phys. Soc. Jpn. 64, 4059 (1995); E. Brézin and A. Zee, Nucl. Phys. B 453, 531 (1995); F. Mezzadri and A. Scotti, Nuovo Cimento Soc. Ital. Fis. B, 112B, 543 (1997); Guozhen Wu, Chem. Phys. Lett. 265, 449 (1997).
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See for example: T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Phys. Rev. Lett. 53, 215 (1984); M. V. Berry and M. Robnik, J. Phys. A 17, 2413 (1984); T. S. Ishikawa and T. Yukawa, Phys. Rev. Lett. 54, 1617 (1985); Th. Zimmermann, H. Köppel, and L. S. Cederbaum, J. Chem. Phys. 91, 3934 (1989); T. Guhr and H. A. Weidenmüller, Ann. Phys. (N.Y.) 193, 472 (1989); Y. Alhassid and N. Whelan, Phys. Rev. Lett. 70, 572 (1992); L. Benet, T. H. Seligman, and H. A. Weidenmüller, ibid. 71, 529 (1993); J.-Z. Ma, J. Phys. Soc. Jpn. 64, 4059 (1995); E. Brézin and A. Zee, Nucl. Phys. B 453, 531 (1995); F. Mezzadri and A. Scotti, Nuovo Cimento Soc. Ital. Fis. B, 112B, 543 (1997); Guozhen Wu, Chem. Phys. Lett. 265, 449 (1997).
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note
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l))].
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81
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0007022721
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note
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ls are not numbered with increasing size.
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82
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0003632783
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edited by W. Ledermann, Probability Wiley, New York
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Emlyn Lloyd, in Handbook of Applicable Mathematics, edited by W. Ledermann, Vol. II: Probability (Wiley, New York, 1980).
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North-Holland, Amsterdam, Appendix A.
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A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1964), Appendix A. Eq. (A18).
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Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York. 1970).
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85
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0007134431
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l alone
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l alone.
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86
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0007032973
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note
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l, and Eq. (3.30) is not ρW(0.0) then. The final result for the DOS, Eq. (3.32), nevertheless holds for this case also.
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88
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26644456508
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Wahrscheinlichkeitsrechnung und Mathematische Statistik, edited by H. Grell, K. Maruhn, und W. Rinow (VEB Deutscher Verlag der Wissenschaften, Berlin), Eq. (6.12.3)
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M. Fisz, in Wahrscheinlichkeitsrechnung und Mathematische Statistik, Hochschulbücher für Mathematik, Bd. 40, edited by H. Grell, K. Maruhn, und W. Rinow (VEB Deutscher Verlag der Wissenschaften, Berlin, 1980), Eq. (6.12.3).
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Fisz, M.1
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54 Taken from the density of vibrational states of symmetry Γ. The degree of degeneracy was dropped due to the separation of different components of degenerate bright states caused by the totally symmetric vibrational Hamiltonian.
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96
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Collier-MacMillan, London, Secs. 8.3 and 8.5
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26644475274
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4))].
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209
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26644458187
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note
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ls are not numbered with increasing size.
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210
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0003632783
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edited by W. Ledermann, Probability Wiley, New York
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Emlyn Lloyd, in Handbook of Applicable Mathematics, edited by W. Ledermann, Vol. II: Probability (Wiley, New York, 1980).
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Messiah, A.1
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26644451917
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l alone.
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214
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26644442633
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note
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l, and Eq. (3.30) is not ρW(0,0) then. The final result for the DOS, Eq. (3.32), nevertheless holds for this case also.
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216
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26644456508
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Wahrscheinlichkeitsrechnung und Mathematische Statistik, edited by H. Grell, K. Maruhn, und W. Rinow VEB Deutscher Verlag der Wissenschaften, Berlin, Eq. (6.12.3)
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note
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Taken from the density of vibrational states of symmetry Γ. The degree of degeneracy was dropped due to the separation of different components of degenerate bright states caused by the totally symmetric vibrational Hamiltonian.
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