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The Mathematical Principles of Quantum Mechanics (Dover Books on Physics)

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Book Details

  • Author: Derek F. Lawden

  • Publisher: Dover

  • Language: English

  • ISBN: 9780486442235

  • Cover: Paperback

  • Pages: 304

  • Release Date: 18-02-2005

  • Dimensions: 8.5 x 5.3 x 0.7 inches


About the Book

Quantum Mechanics for Mathematicians by Derek F. Lawden provides a distinctive and highly accessible introduction to quantum mechanics tailored specifically for upper-level undergraduates and graduate students in applied mathematics. Departing from traditional physics-focused texts, this book emphasizes the mathematical structure and logical foundation of quantum theory, making it a powerful resource for mathematical physicists and applied mathematicians alike.

The author builds the subject from a minimal and intuitive set of axioms, many of which are grounded in physical experience or dictated by the need for mathematical coherence. These foundational concepts are developed systematically, helping readers grasp the essential principles without getting lost in overly complex derivations.

Key features of the book include:

  • A principles-first approach, where real-world physical problems are introduced solely to illustrate core concepts

  • Extensive problem sets with over 100 exercises, guiding students to apply what they've learned and deepen their understanding

  • A logical progression from quantum observables with discrete eigenvalues, such as spin, to those with continuous spectra, ensuring clarity and ease of comprehension

This well-structured and thoughtfully written book highlights the mathematical elegance of quantum mechanics while staying practical and approachable. It is ideal for academic coursework, self-study, or as a reference for researchers and educators who wish to explore quantum mechanics through the lens of mathematical logic and rigor.

Whether you're a student of applied mathematics or a researcher in mathematical physics, Lawden’s classic text offers a clear, concise, and intellectually rewarding journey into the fascinating world of quantum theory.