Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces - Lecture Notes in Physics 707 (Hardback)Alexey V. Shchepetilov (author)
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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.
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Number of pages: 242
Weight: 1250 g
Dimensions: 235 x 155 x 17 mm
Edition: 2006 ed.
From the reviews:
"This book has eight chapters and a bibliography list containing 215 references. It is written in a clear and straightforward way that makes it useful even for nonspecialists in the field. ... In particular, the book contains interesting discussions of applications of the Poincare section method to some problems in constant curvature spaces. ... The book is a valuable complete source for many-body problems on two-point homogeneous spaces." (Alexei Tsygvintsev, Mathematical Reviews, Issue 2008 f)
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