This book comprises a set of tools which allow researchers and students to arrive at a qualitatively correct answer without undertaking lengthy calculations. In general, Qualitative Methods in Theoretical Physics is about combining approximate mathematical methods with fundamental principles of physics: conservation laws and symmetries. Readers will learn how to simplify problems, how to estimate results, and how to apply symmetry arguments and conduct dimensional analysis. A comprehensive problem set is included. The book will appeal to a wide range of students and researchers.

Inhalt

Terms and definitions. Dimensional analysis. Problem set 1 (Chapters 1 and 2). Math for Physicists I: Asymptotic expansions of integrals of non-oscillatory functions. Math for Physicists II: Asymptotic expansion of integrals of oscillatory functions. Math for Physicists III: Asymptotic expansions of sums. Problem set 2 (Chapters 4, 5, and 6). Math for Physicists IV: Approximate solutions of differential equations. Problem set 3 (Chapter 8). Continuous Symmetries. Problem set 4, Chapter 10. Discrete Symmetries. Problem set 5, Chapter 12. Analytical properties of physical quantities. Problem set 6, Chapter 14. Solutions to the problems. Warm-up exercises.