Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces
Download or Read eBook Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces PDF written by Alexey V. Shchepetilov and published by Springer. This book was released on 2006-09-04 with total page 267 pages. Available in PDF, EPUB and Kindle.
Author | : Alexey V. Shchepetilov |
Publisher | : Springer |
Total Pages | : 267 |
Release | : 2006-09-04 |
ISBN-10 | : 9783540353867 |
ISBN-13 | : 3540353860 |
Rating | : 4/5 (67 Downloads) |
Book Synopsis Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces by : Alexey V. Shchepetilov
Book excerpt: This is an introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, empahsizing spaces with constant curvature. Chapters 1-4 provide basic notations for studying two-body dynamics. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 investigates the classical counterpart of the quantum system introduced in Chapter 5. Chapter 8 discusses applications in the quantum realm.