Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces: Lecture Notes in Physics, cartea 707
Autor Alexey V. Shchepetiloven Limba Engleză Hardback – 6 sep 2006
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Springer Berlin, Heidelberg – 6 sep 2006 | 394.29 lei 6-8 săpt. |
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Specificații
ISBN-13: 9783540353843
ISBN-10: 3540353844
Pagini: 276
Ilustrații: XVIII, 242 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.56 kg
Ediția:2006
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Physics
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3540353844
Pagini: 276
Ilustrații: XVIII, 242 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.56 kg
Ediția:2006
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Physics
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
Two-Point Homogeneous Riemannian Spaces.- Differential Operators on Smooth Manifolds.- Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Two-Point Homogeneous Riemannian Spaces.- Hamiltonian Systems with Symmetry and Their Reduction.- Two-Body Hamiltonian on Two-Point Homogeneous Spaces.- Particle in a Central Field on Two-Point Homogeneous Spaces.- Classical Two-Body Problem on Two-Point Homogeneous Riemannian Spaces.- Quasi-Exactly Solvability of the Quantum Mechanical Two-Body Problem on Spheres.
Recenzii
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 Poincaré 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)
"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 Poincaré 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)
Textul de pe ultima copertă
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.