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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 31, 1976 - Issue 4
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Original Articles

Is semi-classical scattering theory accurate for transitions from low-lying vibrational states?

P. Pechukas Theoretical Chemistry Department, 1 South Parks Road, Oxford, OX1 3TG, EnglandView further author information
&
M.S. Child Theoretical Chemistry Department, 1 South Parks Road, Oxford, OX1 3TG, England
Pages 973-987 | Received 01 Aug 1975, Published online: 23 Aug 2006

Citations (28)

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Read on this site (11)

. (2006) Mark Sheard Child. Molecular Physics 104:1, pages 3-9.
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StephenK. Gray & MarkS. Child. (1984) The vibrational energy states of two coupled modes in formaldehyde. Molecular Physics 53:4, pages 961-989.
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StephenK. Gray & MarkS. Child. (1984) Photodissociation within classical S matrix theory. Molecular Physics 51:2, pages 189-210.
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PaulM. Hunt. (1981) A continuum basis of airy functions. Molecular Physics 44:3, pages 653-663.
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T. Uzer & M.S. Child. (1980) Analytical matrix elements for non-curve-crossing situations. Molecular Physics 41:5, pages 1177-1193.
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M.S. Child. (1979) A dynamical approach to the information content of collinear inelastic scattering. Molecular Physics 38:4, pages 1023-1033.
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J.N.L. Connor & H.R. Mayne. (1979) Application of a non-integer Bessel uniform approximation to inelastic molecular collisions. Molecular Physics 37:1, pages 15-25.
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J.N.L. Connor & H.R. Mayne. (1979) A non-integer Bessel uniform approximation for use in semiclassical collision theory. Molecular Physics 37:1, pages 1-13.
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M.S. Child. (1978) The Condon reflection principle in collision dynamics. Molecular Physics 35:3, pages 759-770.
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M.S. Child & P.M. Hunt. (1977) A new (Laguerre) uniform approximation for vibrational transition probabilities. Molecular Physics 34:1, pages 261-272.
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J.N.L. Connor & H.R. Mayne. (1976) Semiclassical theory of molecular collisions: collinear atom harmonic oscillator collisions with attractive interactions. Molecular Physics 32:4, pages 1123-1135.
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Articles from other publishers (17)

L. Bonnet. (2008) The method of Gaussian weighted trajectories. III. An adiabaticity correction proposal. The Journal of Chemical Physics 128:4.
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D Boose, J Richert & U Smilansky. (1992) Tunnelling through a dynamical barrier in dissipative quantum systems. Journal of Physics A: Mathematical and General 25:22, pages 5789-5814.
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H. J. Korsch & R. Möhlenkamp. 1987. Models and Methods in Few-Body Physics. Models and Methods in Few-Body Physics 647 672 .
M. Page, E. S. Oran, J. P. Boris, D. Miller, R. E. Wyatt, H. Rabitz & B. A. Waite. (1985) A comparison of quantum, classical, and semiclassical descriptions of a model, collinear, inelastic collision of two diatomic molecules. The Journal of Chemical Physics 83:11, pages 5635-5646.
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Kazuo Takatsuka & Hiroki Nakamura. (1985) A semiclassical theory in phase space for molecular processes: Formalism based on dynamical characteristic function. The Journal of Chemical Physics 82:6, pages 2573-2589.
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Seung C. Park & Joel M. Bowman. (1984) Classical trajectory-quantum forced oscillator study of gas–surface phonon scattering: He/Si(100)–(2×1). The Journal of Chemical Physics 81:12, pages 6277-6280.
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A.S. Dickinson & D. Richards. 1982. Advances in Atomic and Molecular Physics Volume 18. Advances in Atomic and Molecular Physics Volume 18 165 205 .
Andrew E. DePristo. (1981) Exact classical scaling formalism for nonreactive processes. The Journal of Chemical Physics 75:7, pages 3384-3396.
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K.L. Sebastian. (1981) Wigner phase space method. Application to a forced harmonic oscillator. Chemical Physics Letters 80:3, pages 531-532.
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A. S. Dickinson. 1980. Semiclassical Methods in Molecular Scattering and Spectroscopy. Semiclassical Methods in Molecular Scattering and Spectroscopy 263 296 .
M. S. Child. 1980. Semiclassical Methods in Molecular Scattering and Spectroscopy. Semiclassical Methods in Molecular Scattering and Spectroscopy 155 177 .
Joel M. Bowman, Gerhard Drolshagen & J. Peter Toennies. (1979) A test of the quantum mechanical sudden vibrational approximation for collinear inelastic collisions. The Journal of Chemical Physics 71:5, pages 2270-2274.
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Joel M. Bowman. (2009) Sudden approximation theory of vibrational excitation. International Journal of Quantum Chemistry 16:S13, pages 487-500.
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M.S. Child. 1979. Advances in Atomic and Molecular Physics Volume 14. Advances in Atomic and Molecular Physics Volume 14 225 280 .
R.D. Levine & C.E. Wulfman. (1979) Energy transfer to a morse oscillator. Chemical Physics Letters 60:3, pages 372-376.
Crossref
W. Ronald Gentry. 1979. Atom - Molecule Collision Theory. Atom - Molecule Collision Theory 391 425 .
A. P. Clark, A. S. Dickinson & D. Richards. 1977. Advances in Chemical Physics. Advances in Chemical Physics 63 139 .

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