Fano resonance

In physics, designate a certain characteristic change of the cross section as a Fano resonance after the Italian physicist Ugo Fano who has this resonance characteristic for the first time derived mathematically. Reason for the generally asymmetric line shapes that occur for example in the inelastic scattering of electrons in gases or in the photo- electron spectroscopy is the resonance effects of two of the interaction or a number of different final states, more specifically arising from the interaction between the continuum states and discrete energy levels.

The course of the cross section is proportional to the Fano resonance to

With the reduced energy

This is known as the Fano q parameters, the line width and the energy situation of the Fano resonance. For the special case q = 0 there is a ( downward -looking ) Lorentzian profile with a width centered around.

Sources

  • Quantum field theory
  • Quantum mechanics
  • Spectroscopy
Electron scattering Cauchy distribution Physical Review Digital Object Identifier
326152
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