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Separation of Variables and Superintegrability
The symmetry of solvable systems
EPUB
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9780750313148
Veröffentl:
2018
Einband:
EPUB
Seiten:
275
Autor:
Jr Miller
Serie:
IOP Expanding Physics ISSN
eBook Typ:
EPUB
eBook Format:
Reflowable EPUB
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Beschreibung:
Separation of variables methods for solving partial differential equations are of immense importance in mathematical physics and they are the most powerful tool known for obtaining explicit solutions. This book provides an up-to-date presentation of the theory of separation of variables and its relation to superintegrability.
Separation of variables methods for solving partial differential equations are of immense theoretical and practical importance in mathematical physics. They are the most powerful tool known for obtaining explicit solutions of the partial differential equations of mathematical physics. The purpose of this book is to give an up-to-date presentation of the theory of separation of variables and its relation to superintegrability. Collating and presenting it in a unified, updated and a more accessible manner, the results scattered in the literature that the authors have prepared is an invaluable resource for mathematicians and mathematical physicists in particular, as well as science, engineering, geological and biological researchers interested in explicit solutions.
Preface
1 Introduction
2 Background and definitions
3 Separation of variables
4 Side condition separation
5 Separation for the realn-sphere
6 Separation for real Euclideann-space
7 Separation on the hyperboloid
8 Conformally flat spaces
9 Time-dependent equations
10 Generalized Lie symmetries
11 Differential Stackel form
12 Functional separation
13 Vector equations
14 Links with r-matrix theory
15 Multiseparability
1 Introduction
2 Background and definitions
3 Separation of variables
4 Side condition separation
5 Separation for the realn-sphere
6 Separation for real Euclideann-space
7 Separation on the hyperboloid
8 Conformally flat spaces
9 Time-dependent equations
10 Generalized Lie symmetries
11 Differential Stackel form
12 Functional separation
13 Vector equations
14 Links with r-matrix theory
15 Multiseparability