The quantum and classical Fano parameter
arXiv:1810.00627 · doi:10.1088/1402-4896/abe580
Abstract
The Fano resonance has been a familiar and important feature in atomic and molecular physics for more than half a century. Typically, the combination of a discrete state with one or more continua results in an asymmetric peak in the ionization spectrum. The peak-shape, called the Fano profile, can be expressed by a simple formula derived by Fano in 1935. However, the interpretation of its characteristic parameter , which represents the asymmetry of the peak in the formula, is not necessarily intuitively transparent. The Fano resonance is not necessarily a quantum effect, but it is a manifestation of a certain physical mechanism in various systems, both quantum and classical. Through the derivation of from the known classical pictures with the classical coupled oscillator, we interpret the value with a geometrical view. And further, we introduce a complex valued parameter for the description of the resonance with a damped oscillator.
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Cited by in corpus (4)
- Fano interference in quantum resonances from angle-resolved elastic scattering
- Quantum acoustic Fano interference of surface phonons
- Fano resonance in XUV generated by helium with few-cycle intense laser pulses and its classical analogy
- Scattering Angle Dependence of Fano Resonance Profiles in Cold Atomic Collisions Analyzed with the Complex Valued Parameter