Here are some highly regarded books on wave mechanics that cover various aspects of the subject:
"Principles of Physics" by David Halliday, Robert Resnick, and Jearl Walker: This comprehensive physics textbook covers a wide range of topics, including wave mechanics. It provides a thorough introduction to the principles and applications of waves, including mechanical waves, sound waves, electromagnetic waves, and more.
"Waves" by Frank S. Crawford Jr.: This book is a classic introduction to wave phenomena and wave mechanics. It covers both classical and modern aspects of wave physics, including wave propagation, interference, diffraction, and quantum mechanics of wave-particle duality.
"Introduction to Electrodynamics" by David J. Griffiths: While primarily focused on electromagnetism, this book offers an excellent treatment of wave phenomena within the context of electromagnetic waves. It covers the fundamentals of wave propagation, polarization, and wave behavior at boundaries.
"Waves and Oscillations: A Prelude to Quantum Mechanics" by Walter Fox Smith: This book presents an introduction to wave mechanics with a focus on the underlying mathematical formalism and its connection to quantum mechanics. It covers topics such as wave equations, boundary conditions, Fourier analysis, and more.
"The Physics of Waves" by Howard Georgi: This book provides a conceptual and mathematical approach to understanding wave phenomena. It covers classical wave mechanics, including wave equations, wave interference, dispersion, and various types of waves, such as sound waves, electromagnetic waves, and matter waves.
"Modern Quantum Mechanics" by J. J. Sakurai and Jim Napolitano: Although primarily focused on quantum mechanics, this book includes a comprehensive treatment of wave mechanics and its connection to quantum theory. It covers topics such as wave functions, superposition, wave packets, wave-particle duality, and more.
These books offer varying levels of depth and mathematical rigor, so you can choose based on your background and desired level of understanding. Additionally, remember to check if there are newer editions available, as the field of wave mechanics continues to evolve, and updated versions may provide more recent insights and developments.