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Volumn 107, Issue 23, 1997, Pages 9818-9834

Highly excited vibrational states of HCP and their analysis in terms of periodic orbits: The genesis of saddle-node states and their spectroscopic signature

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CALCULATIONS; ELECTRON ENERGY LEVELS; ELECTRON RESONANCE; ELECTRONIC STRUCTURE; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; MOLECULAR SPECTROSCOPY; QUANTUM THEORY; SPECTRUM ANALYSIS;

EID: 0031342697     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.474226     Document Type: Article
Times cited : (37)

References (62)
  • 2
    • 0001760009 scopus 로고
    • edited by J. R. E. Wyatt and R. D. Coalson Wiley, New York
    • R. E. Wyatt, in Lasers, Molecules, and Methods, edited by J. R. E. Wyatt and R. D. Coalson (Wiley, New York 1989), p. 231.
    • (1989) Lasers, Molecules, and Methods , pp. 231
    • Wyatt, R.E.1
  • 10
    • 0003769394 scopus 로고
    • edited by M. Giannoni, A. Voros, and J. Zinn-Justin Elsevier. Amsterdam
    • E. J. Heller, in Chaos and Quantum Physics, edited by M. Giannoni, A. Voros, and J. Zinn-Justin (Elsevier. Amsterdam, 1991).
    • (1991) Chaos and Quantum Physics
    • Heller, E.J.1
  • 20
    • 0003536870 scopus 로고
    • Springer Series in Computational Mathematics Springer, Bellin
    • E. L. Allgower and K. Georg, Numerical Continuation Methods, Vol. 13 in Springer Series in Computational Mathematics (Springer, Bellin, 1993).
    • (1993) Numerical Continuation Methods , vol.13
    • Allgower, E.L.1    Georg, K.2
  • 46
    • 85033278618 scopus 로고    scopus 로고
    • note
    • Of course, a periodic orbit does not have an initial point in the phase space. With initial point we mean here that particular point at which the tracing of the periodic orbit from E to E+ δE is started. A more rigorous procedure would be to choose, for example, the maximum value of r along the PO for a particular energy. That would change the various curves in the bifurcation diagram but not the general appearance nor the bifurcation points.
  • 47
    • 85033282419 scopus 로고    scopus 로고
    • More information about the calculated periodic orbits can be found at the www site http://www.cc.forth.gr/farantos/articles/hcp/data/
  • 49
    • 85033324306 scopus 로고    scopus 로고
    • note
    • 1000 corresponding classical numbers are 506, 755, and 1004, respectively. Because of the polyad structure the quantum mechanical number of states N(E) is not a smooth function of E, which partly explains the relatively large deviations for the smaller energies. Overall, however, the agreement is very good.
  • 50
    • 85033306958 scopus 로고    scopus 로고
    • The results of the quantum mechanical calculation together with the assignment can be obtained by anonymous ftp from ftp.gwdg.de, directory/ftp/public/mpsf/schinke/hcp/quantum.results.
  • 52
    • 85033284919 scopus 로고    scopus 로고
    • note
    • 2 with the value of ∈ being the same within one figure. The plots are always viewed along the R axis, i.e., in the direction perpendicular to the (r.γ)-plane. Especially the wave functions of highly excited states (or their backbones) are not confined to the (r,γ)-plane but arranged in the 3D space. Therefore, showing 2D projections, with one coordinate fixed or integrated over, makes their appearance less informative. The shading emphasizes the 3D character of the wave functions. After testing various ways of plotting we came to the conclusion that these representations are optimal.
  • 55
    • 85033323937 scopus 로고    scopus 로고
    • note
    • SN. Because these states substitute the real [r1A]-type states (0,0,P), we have changed the nomenclature.
  • 56
    • 85033285702 scopus 로고    scopus 로고
    • note
    • We also performed classical as well as quantum mechanical two-dimensional calculations with R fixed at its equilibrium for γ=0 and found that the 2D and 3D molecules are remarkably different, which, shows that all three modes are coupled.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.