Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces: 707 (Lecture Notes in Physics, 707) - Tapa dura

Shchepetilov, Alexey V.

 
9783540353843: Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces: 707 (Lecture Notes in Physics, 707)

Sinopsis

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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De la contraportada

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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Otras ediciones populares con el mismo título

9783642071270: Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces: 707 (Lecture Notes in Physics)

Edición Destacada

ISBN 10:  3642071279 ISBN 13:  9783642071270
Editorial: Springer, 2010
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