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Volumn 107, Issue 7, 1997, Pages 2313-2328

Semiclassical tunneling in the initial value representation

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EID: 0042285978     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.475143     Document Type: Article
Times cited : (103)

References (52)
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    • M. F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984); E. Kluk, M. F. Herman, and H. L. Davis, J. Chem. Phys. 84, 326 (1986).
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    • Herman, M.F.1    Kluk, E.2
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    • E. J. Heller, J. Chem. Phys. 94, 2724 (1991); M. A. Sepulveda and E. J. Heller, ibid. 101, 8004 (1984).
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    • A. R. Walton and D. E. Manolopoulos, Chem. Phys. Lett. 244, 443 (1995); Mol. Phys. 87, 961 (1996).
    • (1996) Mol. Phys. , vol.87 , pp. 961
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    • Dover, New York
    • A. Erdelyi, Asymptotic Expansions (Dover, New York, 1966); G. F. Carrier, M. Krook, and C. E. Pearson, Functions of a Complex Variable: Theory and Technique (McGraw-Hill, New York, 1966).
    • (1966) Asymptotic Expansions
    • Erdelyi, A.1
  • 39
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    • C. Eckart, Phys. Rev. 35, 1303 (1930); L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Pergamon, Oxford, 1965), p. 79.
    • (1930) Phys. Rev. , vol.35 , pp. 1303
    • Eckart, C.1
  • 41
    • 85033173509 scopus 로고    scopus 로고
    • Since, as described below, steepest descent paths are "repelled" by additional saddles, it is very unlikely that the number of intermediate maxima would be greater than one
    • Since, as described below, steepest descent paths are "repelled" by additional saddles, it is very unlikely that the number of intermediate maxima would be greater than one.
  • 43
    • 85033163705 scopus 로고    scopus 로고
    • note
    • 2 can be expressed as an integral along this new SD path plus an integral along the SD path through the second caustic, and this latter integral turns out to be negligibly small. Thus, we do not distinguish between this situation and case II.
  • 47
    • 5344221205 scopus 로고
    • For example, J. R. Klauder, Phys. Rev. Lett. 56, 897 (1986); 59, 748 (1987).
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 748
  • 48
    • 85033159759 scopus 로고    scopus 로고
    • This can be accomplished by applying Eq. (46) of Ref. 7
    • This can be accomplished by applying Eq. (46) of Ref. 7.
  • 50
    • 0001012882 scopus 로고
    • E. J. Heller, J. Chem. Phys. 62, 1544 (1975); 65, 4979 (1976).
    • (1976) J. Chem. Phys. , vol.65 , pp. 4979


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