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Volumn 105, Issue 11, 1996, Pages 4649-4663

Rotational autoionization and interseries coupling of high Rydberg states by the anisotropy of the molecular core: The quantal long time evolution

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Indexed keywords


EID: 0009342868     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.472308     Document Type: Article
Times cited : (27)

References (76)
  • 2
    • 85033038984 scopus 로고
    • Ph.D. thesis, Würzburg University, Germany
    • B. Buhler, Ph.D. thesis, Würzburg University, Germany, 1990.
    • (1990)
    • Buhler, B.1
  • 18
    • 85033071523 scopus 로고    scopus 로고
    • F. Merkt and T. P. Softley, in Ref. 16
    • F. Merkt and T. P. Softley, in Ref. 16.
  • 29
    • 33645802227 scopus 로고    scopus 로고
    • Ph.D. thesis, Hebrew University, Jerusalem
    • L. Y. Baranov, Ph.D. thesis, Hebrew University, Jerusalem, 1996.
    • (1996)
    • Baranov, L.Y.1
  • 30
    • 85033059712 scopus 로고    scopus 로고
    • note
    • 27,28 and it arises because the correction to the near threshold approximation for matrix elements can and does become large compared to the leading term. When the leading term vanishes, what is nominally a correction becomes the first nonvanishing contribution.
  • 42
    • 85033041645 scopus 로고    scopus 로고
    • But much less so for a dipolar anisotropy, cf. Ref. 27
    • But much less so for a dipolar anisotropy, cf. Ref. 27.
  • 43
    • 85033043468 scopus 로고    scopus 로고
    • note
    • 5F (a.u.)=1. For a higher field the density of Rydberg states is essentially uniform in energy. At lower fields the density of states is "bumpy" so that a state of a given series is not necessarily almost isoenergetic with a state of another series. Note that because the field mixes l states, two quasi degenerate states can effectively interact.
  • 54
    • 85033054263 scopus 로고    scopus 로고
    • This is not always warranted (see Ref. 52), but is a realistic approximation when the matrix elements of QVP are only slowly varying with energy
    • This is not always warranted (see Ref. 52), but is a realistic approximation when the matrix elements of QVP are only slowly varying with energy.
  • 61
    • 85033060475 scopus 로고    scopus 로고
    • note
    • Explicit analytic results, following Gordon (Ref. 59) are given in Ref. 26 but the computation of the required generalized hypergeometric function is not trivial even though, for integer quantum number, the generalized hypergeometric function is a finite polynomial. The problem is that there is extensive cancellation of terms and more stable numerical methods are discussed in Ref. 27. An exception, discussed in the appendix, is when for one of the states, l=n-1.
  • 62
    • 0004285220 scopus 로고
    • Cambridge University Press, Cambridge
    • T. F. Gallagher, Rydberg Atoms (Cambridge University Press, Cambridge, 1994).
    • (1994) Rydberg Atoms
    • Gallagher, T.F.1
  • 71
    • 85033053319 scopus 로고    scopus 로고
    • note
    • + (see Ref. 36) with the larger equilibrium distance. It is in close agreement with the unpublished ab initio results of Dr. F. Masnou-Seeuws. After this work was completed, Prof. U. Kaldor informed us that his ab initio computed value is 23 a.u. which is even higher than the 18 a.u. which we used.
  • 73
    • 0000573224 scopus 로고
    • for a classical interpretation and F. Benvenuto, G. Casati, and D. L. Shepelyansky, Phys. Rev. Lett. 72, 1818 (1994) for a strictly quantal localization. The second bottleneck discussed here is the bottleneck discussed in Refs. 19 and 54 and is similar to the bottleneck discussed by M. Bixon and J. Jortner in the preprint "The Dynamics of Predissociating High Rydberg States of NO."
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 1818
    • Benvenuto, F.1    Casati, G.2    Shepelyansky, D.L.3
  • 76
    • 85033052449 scopus 로고    scopus 로고
    • note
    • 2l+1 from the one that we are using here.


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