Lectures on integrable systems

✍ Scribed by Jens Hoppe

• Publisher: Springer-Verlag
• Year: 1992
• Tongue: English
• Leaves: 120
• Series: Lecture notes in physics., New series m,, Monographs ;, m10
• Category: Library

✦ Table of Contents

Cover ......Page 1
Lecture Notes in Physics: Monographs 10 ......Page 2
Lectures on Integrable Systems ......Page 4
Preface ......Page 6
Contents ......Page 8
1 The Projection Method of Olshanetsky and Perelomov ......Page 10
2 Classical Integrability of the Calogero-Moser Systems ......Page 16
3 Solution of a Quantum Mechanical N-Body Problem ......Page 24
4 Algebraic Approach to x^2 + lpha/x^2 Interactions ......Page 30
5 Some Hamiltonian Mechanics ......Page 38
6 The Classical Non-Periodic Toda Lattice ......Page 44
7 r—Matrices and Yang Baxter Equations ......Page 50
8 Integrable Systems and gl(infty) ......Page 60
9 Infinite Dimensional Toda Systems ......Page 66
10 Integrable Field Theories from Poisson Algebras ......Page 72
11 Generalized Gamier Systems and Membranes ......Page 78
12 Differential Lax Operators ......Page 82
13 Drinfeld-Sokolov Reduction ......Page 90
14 Zero Curvature Conditions on Woo ......Page 96
15 Spectral Transform and Solitons ......Page 104
16 Higher Dimensional \tau-Functions ......Page 116