Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

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Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces

Shchepetilov

Rok vydania: 2006

Vydavateľ: Springer

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O knihe:

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.

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Vydavateľstvo: Springer

Rok vydania: 2006

ISBN: 978-3-540-35384-3

(9783540353843)

Väzba: tvrdá