Mathematical Theory of Scattering Resonances Patricia Irwin Johnston In a close analysis of

In a close analysis of the texts and the circumstances surrounding their composition

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Mathematical Theory of Scattering Resonances Patricia Irwin Johnston In a close analysis ofScattering resonances generalize bound states eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the