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Calculus and mechanics on two-point homogenous Riemannian spaces / Alexey V. Shchepetilov.

Math/Physics/Astronomy Library QC20.7.M24 S53 2006
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Format:
Book
Author/Creator:
Shchepetilov, Alexey V.
Series:
Lecture notes in physics 1616-6361 ; 707.
Lecture notes in physics, 1616-6361 ; 707
Language:
English
Subjects (All):
Riemannian manifolds.
Mathematical physics.
Physical Description:
xvii, 255 pages : illustrations ; 24 cm.
Place of Publication:
Berlin ; New York : Springer, 2006.
Summary:
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.
Notes:
Includes bibliographical references (pages [243]-252) and index.
ISBN:
3540353844
OCLC:
71336528
Publisher Number:
9783540353843

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