Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces
Publication year: 2006
ISBN: 978-3-540-35386-7
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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 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.
Subject: Physics and Astronomy, Hamiltonian functions, Potential, Riemannian spaces, curvature, differential geometry, integrable systems, manifold, two-body problem
