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Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

Posted By: step778
Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

Alexey V. Shchepetilov, "Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces"
2006 | pages: 265 | ISBN: 3540353844 | PDF | 2 mb

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.

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