Explore the core methods of quantum scattering and how different formalisms connect to practical results.
This book introduces the scattering operator formalism and the variational principles that help estimate scattering amplitudes, with a focus on clear, workable approaches for complex problems.
Readers gain a structured path through time-independent and time-dependent pictures, including how variational methods like the Schwinger and Kohn–Hulthen principles can produce reliable approximations. The text also shows how to relate abstract equations to concrete quantities, such as scattering amplitudes and Green’s functions, while highlighting the role of symmetry and reciprocity in scattering theory.
- Foundations of the scattering operator formalism and how it yields scattering amplitudes.
- Two main variational principles and how they can be used with trial functions for accurate results.
- Connections between time-independent and time-dependent viewpoints, with practical implications.
- Extensions to systems with internal degrees of freedom and the role of Green’s functions.
Ideal for readers of advanced quantum mechanics and mathematical physics who want a solid, applied treatment of scattering theory and its multiple formalisms.