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Volumn 112, Issue 18, 2000, Pages 7891-7902

An initial value representation for semiclassical time-correlation functions

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EID: 0043153492     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.481392     Document Type: Article
Times cited : (1)

References (48)
  • 14
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    • W. H. Miller, J. Chem. Phys. 95, 9428 (1991); E. J. Heller, ibid. 94, 2723 (1991).
    • (1991) J. Chem. Phys. , vol.95 , pp. 9428
    • Miller, W.H.1
  • 15
    • 36449008373 scopus 로고
    • W. H. Miller, J. Chem. Phys. 95, 9428 (1991); E. J. Heller, ibid. 94, 2723 (1991).
    • (1991) J. Chem. Phys. , vol.94 , pp. 2723
    • Heller, E.J.1
  • 18
    • 0007710242 scopus 로고    scopus 로고
    • this letter is the erratum to Ref. 16
    • J. L. McWhirter, J. Chem. Phys. 108, 5683 (1998); this letter is the erratum to Ref. 16.
    • (1998) J. Chem. Phys. , vol.108 , pp. 5683
    • McWhirter, J.L.1
  • 24
    • 85037514132 scopus 로고    scopus 로고
    • note
    • The generalization of Eq. (28) for a system with N particles in three dimensions is given by Eq. (8) of Ref. 17 with the transition amplitudes pertaining to the quantum subsystem (described in Refs. 16 and 17) omitted.
  • 26
    • 85037510641 scopus 로고    scopus 로고
    • note
    • Obviously, this cancellation will be especially poor if the system exhibits chaotic classical dynamics.
  • 33
    • 85037504650 scopus 로고    scopus 로고
    • note
    • SC(t″;∈,N).
  • 34
    • 85037497690 scopus 로고    scopus 로고
    • note
    • e to one.
  • 40
    • 85037514573 scopus 로고    scopus 로고
    • note
    • Since the thermal density matrix in Eq. (57) weights the final and not the initial positions of the classical paths, one might be inclined to say that Eq. (57) is not a complete IVR for the semiclassical time-correlation function.
  • 46
    • 85037512812 scopus 로고    scopus 로고
    • note
    • Of course, if our system contains many degrees of freedom and  and B̂ are operators pertaining to just a few of them, then we could say that our system is composed of a subsystem of interest coupled to a bath; however, in Herman and Coker's analysis the degrees of freedom of the bath are not integrated over in the correlation function.
  • 47
    • 36049058509 scopus 로고
    • t. Therefore, if this generalization is possible, then the derivation of a mixed quantumclassical time-correlation function would need to incorporate an influence functional to some extent to achieve decoherence. Obviously, we have not examined such a generalization in this article: it is a conjecture.
    • (1969) Phys. Rev. , vol.181 , pp. 174
    • Pechukas, P.1
  • 48
    • 0033089771 scopus 로고    scopus 로고
    • t. Therefore, if this generalization is possible, then the derivation of a mixed quantumclassical time-correlation function would need to incorporate an influence functional to some extent to achieve decoherence. Obviously, we have not examined such a generalization in this article: it is a conjecture
    • t. Therefore, if this generalization is possible, then the derivation of a mixed quantumclassical time-correlation function would need to incorporate an influence functional to some extent to achieve decoherence. Obviously, we have not examined such a generalization in this article: it is a conjecture.
    • (1999) J. Chem. Phys. , vol.110 , pp. 4184
    • McWhirter, J.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.