Multiple Scattering in Solids - Techniques for Electronic Structure

In this review of Multiple Scattering in Solids the bottom line is clear: this is a rigorous, method-focused textbook for researchers and graduate students who need practical tools for solving linear partial differential equations in extended systems. The book's strongest reason to buy is its systematic presentation of the partitioning approach - dividing space into regions, solving locally, and assembling a global solution - which makes complex scattering and electronic-structure problems approachable. The tone is academic and technical, and the work is best judged as a reference and graduate-level course companion rather than light reading.

Key Features

• Regional decomposition method: Presents a clear framework for dividing space into regions and applying linear partial differential equations locally so readers can construct global solutions from local ones.
• Focus on electronic structure: Emphasizes techniques directly useful to researchers calculating the electronic structure of materials, offering targeted methods for practical problems.
• Cross-disciplinary relevance: Includes approaches that are applicable beyond condensed matter, useful for practitioners in quantum chemistry, electron microscopy, acoustics, and optics.
• Graduate-level rigor: Delivers mathematically precise derivations suited to graduate students and researchers seeking depth and formal completeness.
• Problem-solving emphasis: Shows how to assemble partial solutions into a global result, helping readers translate formalism into computational and analytic practice.

Who It's For

Multiple Scattering in Solids is ideal for graduate students, postdocs, and researchers working on the electronic structure of solids who need a methodical treatment of scattering theory and numerical assembly of solutions. Readers seeking a mathematically consistent, technique-oriented text will find the book directly useful for research projects and advanced coursework.

It is less suitable for beginners with no background in partial differential equations or quantum mechanics, and readers looking for a cookbook of ready-made software implementations should look elsewhere; the book is focused on principles and analytical methods rather than packaged computational recipes.

Pros & Cons

Pros

• Thorough presentation of the regional decomposition technique that clarifies how local solutions combine into a global one.
• Direct applicability to electronic structure problems, making it a practical reference for materials researchers.
• Broad relevance across related fields such as quantum chemistry and electron microscopy, increasing its usefulness beyond a single discipline.

Cons

• The text assumes significant background in differential equations and quantum theory, which can make early chapters demanding for newcomers.

Specifications

Title	Multiple Scattering in Solids (Graduate Texts in Contemporary Physics)
Authors	Antonios Gonis, William H. Butler
Subject	Techniques for solving linear partial differential equations in solids
Intended audience	Researchers and graduate students in electronic structure and related fields
Applications	Electronic structure, quantum chemistry, electron microscopy, acoustics, optics
Approach	Divide space into regions, apply equations locally, assemble global solution

Our Verdict

Multiple Scattering in Solids is a valuable, methodical reference for graduate students and researchers who require a rigorous treatment of regional decomposition techniques for electronic-structure problems. Its cross-disciplinary applicability and formal clarity make it good value as a long-term reference for serious study and research, though newcomers should be prepared for a mathematically demanding presentation.

Frequently Asked Questions

Is this book suitable for self-study?
Yes, for readers with a solid background in partial differential equations and quantum mechanics; newcomers may need supplementary introductory texts.

Does it include computational code or software?
No, the book focuses on analytical and methodological techniques rather than providing software implementations.

Which fields will benefit besides condensed matter?
Practitioners in quantum chemistry, electron microscopy, acoustics, and optics will find applicable methods and insights.