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Yang, Benhui; Han, Keli; Ding, Shangwu

doi:10.1023/a:1018878124232

Cited by 3 publications

(2 citation statements)

References 15 publications

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“…As shown in (29), α 0 (t) and α 3 (t) are related. For the particular case p 0 = 1, we can determine α 1 (t) and α 2 (t) but α 0 (t) and α 3 (t) are indetermined.…”

Section: Algebraic Solutionmentioning

confidence: 98%

See 1 more Smart Citation

An algebraic model to describe atom–diatom inelastic collisions in the semiclassical approximation

Álvarez‐Bajo

Santiago

Lemus

et al. 2007

J. Phys. B: At. Mol. Opt. Phys.

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An algebraic model to describe inelastic collisions between an atom and a diatomic molecule within the semiclassical approximation framework is presented. For the interaction in the diatomic system a Morse potential is considered, while an exponential function is taken for the atom–diatom interaction. The original atom–diatom Hamiltonian is transformed into a time-dependent Hamiltonian for the diatomic system. In the interaction picture framework the interaction potential is approximated by a linear expansion in terms of the generators of the SU(2) group, the dynamical algebra for the Morse potential bound states. A minimization procedure to determine the time-dependent coefficients is proposed. The transition intensities are given in terms of matrix elements of the product of exponentials of the Morse potential dynamical group generators. A comparison of the algebraically obtained transition probabilities with the exact semiclassical results is presented.

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“…As shown in (29), α 0 (t) and α 3 (t) are related. For the particular case p 0 = 1, we can determine α 1 (t) and α 2 (t) but α 0 (t) and α 3 (t) are indetermined.…”

Section: Algebraic Solutionmentioning

confidence: 98%

“…Most of the efforts to consider a binding Morse potential are focused on adding anharmonic terms to the harmonic potential [29][30][31][32]. An early work considering the Morse potential from the outset was presented by Levine, who dealt with this problem by means of a qualitative analysis using the su(2) algebra [33,34].…”

Section: Introductionmentioning

confidence: 99%