Home » Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces. Lecture Notes in Physics, Volume 707. by Alexey V Shchepetilov
Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces. Lecture Notes in Physics, Volume 707. Alexey V Shchepetilov

Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces. Lecture Notes in Physics, Volume 707.

Alexey V Shchepetilov

Published January 10th 2010
ISBN : 9781280627422
ebook
255 pages
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 About the Book 

The present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, with empahsis on spaces with constant curvature. Chapter 1-4 provide the basic notations from differentialMoreThe present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, with empahsis on spaces with constant curvature. Chapter 1-4 provide the basic notations from differential geometry for studying two-body dynamics in these spaces. 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 studies the classical counterpart of the quantum system of chapter 5. Chapter 8 investigates some applications in the quantum realm, namely for the coulomb and oscillator potentials.