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Science/Engineering Statistical Mechanics, Third Edition
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Science/Engineering Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces
Posted on 2010-03-15
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More Alexey V. Shchepetilov, "Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces" 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. Only RS mirrors, please Rapidshare :
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