An Introduction to Linear and Nonlinear Scattering Theory

This work provides a foundational understanding of scattering theory, covering both linear and nonlinear aspects. An Introduction to Linear and Nonlinear Scattering Theory serves as a practical guide.

This monograph serves two primary purposes. First, it acts as a companion volume to more advanced texts by compiling the essential mathematical topics frequently utilized in the development of scattering theories. By doing so, it offers a coherent and self-contained introduction to both linear and nonlinear scattering theory for those interested in embarking on research in this field. The text is structured to guide readers through the fundamental concepts, ensuring a solid foundation for further exploration.

The second aim of this work is to illustrate how the various mathematical aspects discussed can be applied to real-world problems in mathematical physics and the applied sciences. This application-oriented approach is particularly beneficial for those looking to understand the practical implications of scattering theory in various contexts. The book emphasizes the significance of boundary conditions, which play a crucial role in the behavior of scattering phenomena.

Overall, An Introduction to Linear and Nonlinear Scattering Theory is designed to be an accessible yet comprehensive resource for newcomers and experienced researchers alike. It bridges the gap between theoretical understanding and practical application, making it a valuable addition to the literature on scattering theory.