The Kepler Problem: Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations

Author:   Bruno Cordani
Publisher:   Birkhauser Verlag AG
Volume:   29
ISBN:  

9783764369026


Pages:   442
Publication Date:   11 December 2002
Format:   Hardback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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The Kepler Problem: Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbations


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Author:   Bruno Cordani
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Volume:   29
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   0.940kg
ISBN:  

9783764369026


ISBN 10:   3764369027
Pages:   442
Publication Date:   11 December 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Preface.- List of Figures.- 1 Introductory Survey.- 1.1 Part I - Elementary Theory.- 1.2 Part II - Group-Geometric Theory.- 1.3 Part III - Perturbation Theory.- 1.4 Part IV - Appendices.- I Elementary Theory 17.- 2 Basic Facts.- 3 Separation of Variables and Action-Angle Coordinates.- 4 Quantization of the Kepler Problem.- 5 Regularization and Symmetry.- II Group-Geometric Theory 109.- 6 Conformal Regularization.- 7 Spinorial Regularization.- 8 Return to Separation of Variables.- 9 Geometric Quantization.- 10 Kepler Problem with Magnetic Monopole.- III Perturbation Theory 235.- 11 General Perturbation Theory.- 12 Perturbations of the Kepler Problem.- 13 Perturbations with Axial Symmetry.- IV Appendices 321.- A Differential Geometry.- B Lie Groups and Lie Algebras.- C Lagrangian Dynamics.- D Hamiltonian Dynamics.

Reviews

"""This is an interesting book, which well organizes the group-geometric aspects of the Kepler problem on which a great number of articles have been published along with the advance of symmetry theory. . . . a nice reference not only for graduate students but also for scientists who are interested in dynamical systems with symmetry."" --MathSciNet"


This is an interesting book, which well organizes the group-geometric aspects of the Kepler problem on which a great number of articles have been published along with the advance of symmetry theory... a nice reference not only for graduate students but also for scientists who are interested in dynamical systems with symmetry. --MathSciNet


This is an interesting book, which well organizes the group-geometric aspects of the Kepler problem on which a great number of articles have been published along with the advance of symmetry theory. . . . a nice reference not only for graduate students but also for scientists who are interested in dynamical systems with symmetry. --MathSciNet


<p> This is an interesting book, which well organizes the group-geometric aspects of the Kepler problem on which a great number of articles have been published along with the advance of symmetry theory. . . . a nice reference not only for graduate students but also for scientists who are interested in dynamical systems with symmetry. --MathSciNet


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