Introduction to Octonion and Other Non-Associative Algebras in Physics (Montroll Memorial Lecture Series in Mathematical Physics, Series Number 2)

In this book, the author aims to familiarise researchers and graduate students, in both physics and mathematics, with the application of non-associative algebras in physics. Topics covered by the author are wide-ranging to include algebras of observables in quantum mechanics, angular momentum and octonions, division algebra, triple-linear products and Yang–Baxter equations. The author also covers non-associative gauge theoretic reformulation of Einstein's general relativity theory and similar subjects. Much of the material found in this book is not available in other standard works. This book will be of interest to graduate students and research scientists in physics and mathematics.

a Book For Both Physicists And Mathematicians Dealing With The Application Of Non-associative Algebras In Physics.

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okubo (physics And Astronomy, U. Of Rochester, Ny) Explains To Researchers And Graduate Students In Both Physics And Mathematics How Non-associative Algebras Are Applied In Physics. Among His Topics Are Algebras Of Observables In Quantum Mechanics, Angular Momentum And Octonians, Division Algebra, Triple-linear Products, And Yang-baxter Equations. He Also Describes A Non-associative Gauge Theoretic Reformulation Of Einstein's General Relativity Theory. A First-year Graduate Knowledge Of Quantum Mechanics And Angular Momentum Algebra Is Assumed. The Lectures Were Delivered In April 1990 At The University Of Rochester, New York. Annotation C. Book News, Inc., Portland, Or (booknews.com)

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. In this book, the author aims to familiarize researchers and graduate students, in both physics and mathematics, with the application of non-associative algebras in physics. Topics covered by the author are wide-ranging to include algebras of observables in quantum mechanics, angular momentum and octonions, division algebra, triple-linear products and Yang-Baxter equations. The saying that God is the mathematician, so that, even with meager experimental support, a mathematically beautiful theory will ultimately have a greater chance of being correct, has been attributed to Dirac. Susumu Okubo. Includes Bibliographical References And Index.