Elements of Superintegrable Systems Basic Techniques and Results
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day. that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hennit Clad in Crane Feathe...
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| Format: | eBook |
| Language: | English |
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Dordrecht
Springer Netherlands
1987, 1987
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| Edition: | 1st ed. 1987 |
| Series: | Mathematics and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I. Classical Superintegrable Systems
- §1. Introduction
- §2. Variational Calculus with Anticommuting Variables
- §3. SuperHamiltonian Formalism and Infinite-Dimensional Stable Lie Superalgebras
- §4. Residue Calculus in Modules of Differential Forms over Superalgebras of Pseudo-Differential Operators
- §5. Classical Superintegrable Systems
- §6. Variational Derivatives of Conservation Laws and the SuperHamiltonian Structure of Classical Superintegrable Systems
- II. Lie Algebras, Korteweg-De Vries Equations, and Bi-Superhamiltonian Systems
- §7. Three Constructions
- §8. Lie-Algebraic Identities
- §9. Bi-SuperHamiltonian Systems
- Appendix. Metrizable Lie Algebras
- Sources