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In Quantum Mechanics, Resonance occurs in the context of Scattering Theory, which deals with studying scattering of quantum particles from potentials. The scattering problem deals with calculation of flux distribution of scattered particles/waves as a function of the potential, and that of the state ( characterized by momentum/energy) of the incident particle. For a free quantum particle incident on the potential, the plane wave solution to the time independent Schrödinger equation is : : For one dimensional problems, we are interested to calculate the Transmission co-efficient , defined as : : where is the Probability current density. This gives the fraction of incident beam of particles that makes it through the potential. For three dimensional problems, we calculate the Scattering cross-section , which, roughly speaking, is the total area of the incident beam which is scattered. Another quantity of relevance is the partial cross-section, , which denotes the scattering cross section for a partial wave of a definite angular momentum eigenstate. This quantities naturally depend on , the wave-vector of the incident wave, which is related to its energy by: : The values of these quantities of interest, the Transmission co-efficient (in case of one dimensional potentials), and the partial cross-section show peaks in their variation with the incident energy E. These phenomena are called resonances. == One Dimensional Case : Finite Square Potential == 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Resonances in scattering from potentials」の詳細全文を読む スポンサード リンク
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