Calculus and mechanics on two-point homogenous Riemannian spaces

✍ Scribed by Alexey V. Shchepetilov (auth.)

• Book ID: 127430289
• Publisher: Springer
• Year: 2006
• Tongue: English
• Weight: 1 MB
• Edition: 1
• Category: Library
• City: Hanover
• ISBN: 3540353860
• ISSN: 0075-8450
• DOI: 10.1007/b11771456

✦ Synopsis

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.

✦ Subjects

Mechanics