In this book, the author applies non-associative algebras to physics. Okubo covers topics ranging from algebras of observables in quantum mechanics and angular momentum and octonions to division algebra, triple-linear products and YangSHBaxter equations. He also discusses the non-associative gauge theoretic reformulation of Einstein's general relativity theory. Much of the material found in this volume is not available in other works. The book will therefore be of great interest to graduate students and research scientists in physics and mathematics.

Critical effects in semiclassical light scattering, in which the standard approximations break down, are associated with forward peaking, rainbows, glories, orbiting, and resonances. Besides giving rise to beautiful optical effects in the atmosphere, critical effects have important applications in many areas of physics. Their interpretation and accurate treatment, however, are difficult. This book deals with the theory of these critical effects. After a preliminary chapter posing the problem of critical effects, the next three chapters on coronae, rainbows, and glories, are written to be...

Critical effects in semiclassical light scattering, in which the standard approximations break down, are associated with forward peaking, rainbows, glories, orbiting, and resonances. Besides giving rise to beautiful optical effects in the atmosphere, critical effects have important applications in many areas of physics. Their interpretation and accurate treatment, however, are difficult. This book deals with the theory of these critical effects. After a preliminary chapter posing the problem of critical effects, the next three chapters on coronae, rainbows, and glories, are written to be...

In this book, the author applies non-associative algebras to physics. Okubo covers topics ranging from algebras of observables in quantum mechanics and angular momentum and octonions to division algebra, triple-linear products and YangSHBaxter equations. He also discusses the non-associative gauge theoretic reformulation of Einstein's general relativity theory. Much of the material found in this volume is not available in other works. The book will therefore be of great interest to graduate students and research scientists in physics and mathematics.