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 space...

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Glavni avtor: Shchepetilov, Alexey V., 19..-
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Izdaja:1st ed. 2006.
Serija:Lecture Notes in Physics 707
Teme:
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Sporočilo: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Calculus and mechanics on two-point homogenous Riemannian space, Alexey V. Shchepetilov, 2006, Berlin, Springe, 1 vol. (XVII-255 p.), Lecture notes in physics, 978-3-540-35384-3
• Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces, Texte imprimé, 9783642071270
• Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces, Texte imprimé, 9783540825685
Opis
Izvleček: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
Opis knjige/članka:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540353867
ISSN:1616-6361
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