Abstract
The many-trajectory semiclassical approximation for calculation of the classical angle scattering is discussed. It is based on a specific representation of the scattering matrix, following from its piecewise synthesis. Each piece is calculated by solving semiclassical equations for closely spaced molecular adiabatic terms along local common trajectories. To this approximation the differential cross section displays interference effects: generalized Stueckelberg undulations, generalized rainbow undulations, and the slow modulation of rapid undulations due to the relative dephasing of waves scattered on a degenerate molecular term.
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References
Mott, N.F.: 1931, Proc.Cambr.Phil.Soc. 27, pp. 553–560.
Mott, N.F., Massey, H.S.W.: “The Theory of Atomic Collisions”, Clarendon Press, Oxford, 1965.
Miller, W.H.: 1974, Adv.Chem.Phys. 25, PP-69–177.
Miller, W.H.: 1975, Adv.Chem.Phys. 30, pp. 77–136.
Child, M.S.: “Molecular Collision Theory”, Academic Press, London-New York, 1974.
Semiclassical Methods in Molecular Scattering and Spectroscopy, ed.by M.S.Child, Reidel Publ.Co., Dordrecht - Boston - London, 1980.
Percival, I.C., Richards, D.: 1975, Ad v. Atom. Mol. Phys. 11, pp. 1–82.
Pechukas, P.: 1969, Phys.Rev. 181, pp. 166–185
Mayer, D.H., Miller, W.H.: 1979, J.Chem.Phys. 70, pp. 3214–3223.
Bjerre, A., Nikitin, E.E.: 1969, Chem.Phys.Lett. 1, pp. 179–182.
Tully, J.C.: in: “Dynamics of Molecular Collisions”, part B, ed.by W.H.Miller, Plenum Press, New York, 1976, pp.217–267
Child, M.S.: in: “Atom-Molecule Collision Theory”, ed. by R.B.Bernstein, Plenum Press, New York, 1979, pp. 427–465
Delos, J.B.: 1981, Comm.Atom.Mol.Phys. 10, pp. 211–214.
Nikitin, E.E., Umanskii,S. Ya.: “Neadiabaticheskie Perekhody pri Medlennykh Atomnykh Stolknoveniyakh” (Nonadiabatic Transitions in Slow Atomic Collisions), Atomizdat, Moscow, 1979.
Nikitin, E.E., Umanskii, S.Ya.: “Theory of Slow Atomic Collisions: Interactions, Interference Effects, Nonadiabatic Coupling Models” - in press.
Smith, F.T.: 1963, Bull.Phys.Soc. 9, pp.411–413
Smith, P.J.: 1965, Phys.Lett. 10, pp. 290–291.
Dashevskaya, E.I., Mokhova, N.A.: 1972, Optika i Spektroskopiya 33, pp. 817–825.
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Nikitin, E.E. (1983). Nonadiabatic Effects in Slow Atomic Collisions — Many-Trajectory Semiclassical Approximation. In: Löwdin, PO., Pullman, B. (eds) New Horizons of Quantum Chemistry. International Academy of Quantum Molecular Science, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7950-5_11
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DOI: https://doi.org/10.1007/978-94-009-7950-5_11
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