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Journal of physics. B, Atomic and molecular physics, 1984-02, Vol.17 (3), p.381-403
1984

Details

Autor(en) / Beteiligte
Titel
Quantum defect theory. XIII. Radiative transitions
Ist Teil von
  • Journal of physics. B, Atomic and molecular physics, 1984-02, Vol.17 (3), p.381-403
Ort / Verlag
London: IOP Publishing
Erscheinungsjahr
1984
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
  • Absorption of radiation by neutral atoms and molecules, and by positive ions, gives infinite series of spectral lines converging to the first ionisation threshold, and photoionisation with infinite series of resonances converging to higher thresholds. Quantum defect theory has been used in many previous studies of such processes. The present paper presents a systematic treatment. Results obtained include: (i) formulae which give the dependence of the dipole moment on the effective quantum numbers in closed channels; (ii) formulae, convenient for numerical work, which involve only real quantities; (iii) a parametric formula for the case of two channels, one open and one closed. The parametric formula describes a complete Rydberg series of resonances. It involves a profile factor (x+q)*/(l +xz), where x =tan(a(u+a))/tanh(.irp) and where, for the closed channel, v is the effective quantum number and p = (a +ip) is the complex quantum defect. For aj3<< 1 the resonances are narrow and one recovers the formula of Fano which has x = (E - E,)/$T where E, and r are such that the scattering matrix has a pole at an energy E=E -1 0 zir.

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