A Primer on Resonances in Quantum Mechanics

Details A Primer on Resonances in Quantum Mechanics A Primer on Resonances in Quantum Mechanics

2009-02-24

arxiv.org/abs/0902.4061v1

AIP Conference Proceedengs 1077 (2008) 31-57

Physics

Quantum Physics

28 pages, 9 figures, lectures presented at the Advanced Summer School in Physics 2008, Cinvestav, Mexico

Scientific paper

10.1063/1.3040259

After a pedagogical introduction to the concept of resonance in classical and quantum mechanics, some interesting applications are discussed. The subject includes resonances occurring as one of the effects of radiative reaction, the resonances involved in the refraction of electromagnetic waves by a medium with a complex refractive index, and quantum decaying systems described in terms of resonant states of the energy. Some useful mathematical approaches like the Fourier transform, the complex scaling method and the Darboux transformation are also reviewed.

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