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Front Matter -- Basic Concepts and Formulas -- Nonstationary Schṟdinger Equation -- Stationary Schṟdinger Equation -- Spectral Theory -- High Energy Decay of Resolvent -- Limiting Absorption Principle -- Dispersion Decay -- Scattering Theory and Spectral Resolution -- Scattering Cross Section -- Klein-Gordon Equation -- Wave Equation -- References -- Index
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A simplified, yet rigorous treatment of scattering theory methods and their applications Dispersion Decay and Scattering Theory provides thorough, easy-to-understand guidance on the application of scattering theory methods to modern problems in mathematics, quantum physics, and mathematical physics. Introducing spectral methods with applications to dispersion time-decay and scattering theory, this book presents, for the first time, the Agmon-Jensen-Kato spectral theory for the Schr?dinger equation, extending the theory to the Klein-Gordon equation. The dispersion decay plays a crucial role i