The eigenphase formulation of fine-structure transition cross sections

Reid, R. H. G.; Rankin, R.

doi:10.1088/0022-3700/11/1/012

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[~ (I ~ --P)2 + Ei -W(r)]ua(r) = O1

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1996

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Cited by 13 publications

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“…Here, the tilde indicates transposition and the prime differentiation with respect to R. Explicit expressions for the U matrix can be obtained from [8] (see also [27,28] and Tables 1 and 2 …”

Section: [~ (I ~ --P)2 + Ei -W(r)]ua(r) = Omentioning

confidence: 99%

Hund's cases for rotating diatomic molecules and for atomic collisions: angular momentum coupling schemes and orbital alignment

Aquilanti

Cavalli

Grossi

1996

Z Phys D - Atoms, Molecules and Clusters

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Abstract. The classification of rotational spectra of diatomic molecules according to the five Hund's cases provides a guide to the quantum mechanical formulation of alternative coupling schemes for the treatment of collisions between atoms having nonzero internal -spin and/or electronic-angular momenta. This paper presents an account of the corresponding diabatic representations and of the orthogonal transformations among cases; closure properties are derived from a pentagonal cyclic arrangement of angular momentum recoupling transformations and a limiting relationship between re-coupling and coupling coefficients. Adiabatic representations are also discussed, with reference to the description of orbital alignment in atomic collisions. Extensions to inelastic molecular encounters and reactions are briefly outlined.

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Section: [~ (I ~ --P)2 + Ei -W(r)]ua(r) = Omentioning

confidence: 99%