The text bridge the gap between basic quantum mechanics and advanced research in atomic, nuclear, and particle physics. It focuses on the non-relativistic theory of scattering but establishes the mathematical framework used across all scales of physics. Key Topics by Section
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Joachain does not skip steps. For a student or self-taught researcher, the text provides exhaustive derivations. Whether deriving the optical theorem—which relates the total cross section to the imaginary part of the forward scattering amplitude—or detailing the properties of the Jost functions, the book provides the complete mathematical framework without leaving "exercises for the reader." Balance of Time-Dependent and Time-Independent Views
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: The book has proven to be an indispensable resource for graduate students and researchers in theoretical physics, atomic physics, nuclear physics, and quantum chemistry. It is consistently cited in research articles, with its topics and notations becoming a standard reference for the scientific community.
Time-Independent Scattering and the Lippmann-Schwinger Equation
This is the theoretical core, moving from specific examples to the universal math of quantum collisions. The text bridge the gap between basic quantum
This foundational section sets the stage by establishing the basic concepts of scattering theory:
At its core, collision theory examines what happens when two or more particles approach each other, interact via physical forces, and subsequently separate. While classical mechanics can predict the trajectories of macroscopic objects like billiard balls using simple force laws, the subatomic world requires quantum mechanics.
By proving the equivalence of these two approaches, Joachain equips researchers with the flexibility to choose the most efficient mathematical tool for their specific problem. Focus on Electron-Atom Collisions For a student or self-taught researcher, the text
: A detailed look at decomposing scattering into individual angular momentum components ( ) and the resulting phase shifts.
If you are downloading or purchasing Joachain's text, it is highly recommended to look for editions that include appendices on complex angular momentum (Regge poles) and formal scattering matrix (
It bridges the gap between introductory quantum mechanics texts and highly specialized research papers.
Joachain’s work is renowned for its detailed mathematical treatment of several foundational quantum mechanics tools: Description Cross Sections