A Primer on Resonances in Quantum Mechanics

Journal Article · Thu Nov 13 00:00:00 EST 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3040259· OSTI ID:21254898

Rosas-Ortiz, Oscar; Fernandez-Garcia, Nicolas ^[1]; Cruz y Cruz, Sara ^[1]

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1. Departamento de Fisica, Cinvestav, AP 14-740, 07000 Mexico DF (Mexico)

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 (Gamow-Siegert functions). Some useful mathematical approaches like the Fourier transform, the complex scaling method and the Darboux transformation are also reviewed.

• OSTI ID: 21254898
• Journal Information: AIP Conference Proceedings, Vol. 1077, Issue 1; Conference: Advanced summer school on physics 2008: Frontiers in contemporary physics, Mexico City (Mexico), 7-11 Jul 2008; Other Information: DOI: 10.1063/1.3040259; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELECTROMAGNETIC RADIATION
FOURIER TRANSFORMATION
FUNCTIONS
QUANTUM MECHANICS
REFRACTION
REFRACTIVE INDEX
RESONANCE
SCHROEDINGER EQUATION