📖 The Scoop
This book is based on the Colloquium Lectures presented by Shlomo Sternberg in 1990. The authors delve into the mysterious role that groups, especially Lie groups, play in revealing the laws of nature by focusing on the familiar example of Kepler motion: the motion of a planet under the attraction of the sun according to Kepler's laws. The first part of the book is written with the general mathematical reader in mind. The remainder is aimed at specialists. It begins with a demonstration that the Kepler problem and the hydrogen atom exhibit O(4) symmetry and that the form of this symmetry determines the inverse square law in classical mechanics and the spectrum of the hydrogen atom in quantum mechanics. The space of regularized elliptical motions of the Kepler problem (also known as the Kepler manifold) plays a central role in this book.
Genre: Mathematics / Group Theory (fancy, right?)
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