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Opis

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.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.

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Geometry

• Pełny tytuł: Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces
• Autor: Alexey V. Shchepetilov
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 242
• EAN: 9783642071270
• ISBN: 3642071279
• ID: 01652298
• Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Waga: 427 g
• Wymiary: 235 × 155 × 16 mm
• Data wydania: 22. October 2010

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