Analysis of Spherical Symmetries in Euclidean Spaces, Claus M?ller

Автор: A.M. Vinogradov
Название: Symmetries of Partial Differential Equations
ISBN: 9401073708 ISBN-13(EAN): 9789401073707
Издательство: Springer
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Описание: Higher symmetries, conservation laws, partial differential equations, infinitely prolonged equations, generating functions. More exactly, we will focus our attention on the main conceptual points as well as on the problem of how to find all higher symmetries and conservation laws for a given system of partial differential equations.

Автор: Claus M?ller
Название: Analysis of Spherical Symmetries in Euclidean Spaces
ISBN: 1461268273 ISBN-13(EAN): 9781461268277
Издательство: Springer
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Описание: This self-contained book offers a new and direct approach to the theories of special functions with emphasis on spherical symmetry in Euclidean spaces of arbitrary dimensions.

Автор: Audrey Terras
Название: Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincar? Upper Half-Plane
ISBN: 1461479711 ISBN-13(EAN): 9781461479710
Издательство: Springer
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Описание: This book offers an introduction to harmonic analysis on the simplest symmetric spaces. It places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering.

Автор: Audrey Terras
Название: Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincar? Upper Half-Plane
ISBN: 1493950134 ISBN-13(EAN): 9781493950133
Издательство: Springer
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Описание: This book offers an introduction to harmonic analysis on the simplest symmetric spaces. It places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering.

Автор: Bruno Gruber; Giuseppe Marmo; Naotaka Yoshinaga
Название: Symmetries in Science XI
ISBN: 9048166926 ISBN-13(EAN): 9789048166923
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Описание: 2 Elementary systems on G-manifolds. 292 3 Two elementary systems: The(GG)-manifold and its subma- fold splitting underdiag(GG). 293 4 Examples of internal coordinates on(GG). 297 5 Kronecker products and two-particle state decompositions on(G G). 298 6 Fusion of two elementary systems on(GG). 300 7 Elementary systems on the Poincare-manifold. 301 7. 1 Mackey and covariant ?elds. 301 7. 2 From covariant to Mackey ?elds. 302 7. 3 Obstruction of Poincare-manifolds by covariant ?elds. 303 8 Relativistic position operators and coordinates. 305 8. 1 Position operators for relativistic Mackey ?elds. 305 8. 2 Position operators for ?elds with spin. 306 9 From Dirac ?elds to Bargmann-Wigner ?elds by fusion. 307 10 Elementary systems in interaction. 309 10. 1 Euclidean invariant interactions. 309 10. 2 Interacting Dirac spinor ?elds. 310 11 Scission of an elementary system. 311 12 Conclusion. 313 13 Appendix. 313 13. 1 A: Orthogonality and completeness of unitary represen- tions. 313 13. 2 B: Parameters, cosets and multiplication rules forSl(2, C). 313 13. 3 C: Observables in the relativistic 2-body system. 314 Propagation in crossed electric and magnetic ?elds 317 T. Kramer, C. Bracher 1 Introduction 317 2 Elastic scattering and quantum sources 318 2. 1 Connection to the propagator 319 2. 2 Currents generated by quantum sources 321 2. 3 Density of States 322 2. 4 Construction of the Green function 322 3 Matter waves in crossed electric and magnetic ?elds 324 3. 1 The quantum propagator 324 3.

Автор: W.I. Fushchich; A.G. Nikitin
Название: Symmetries of Maxwell`s Equations
ISBN: 9027723206 ISBN-13(EAN): 9789027723208
Издательство: Springer
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Описание: 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 fina\ question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu\ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Автор: Kenji Iohara; Sophie Morier-Genoud; Bertrand R?my
Название: Symmetries, Integrable Systems and Representations
ISBN: 1447148622 ISBN-13(EAN): 9781447148623
Издательство: Springer
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Описание:

This volume is the result of two international workshops; Infinite Analysis 11 - Frontier of Integrability - held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Universit Claude Bernard Lyon 1, France in December 13th to 16th, 2011.

Included are research articles based on the talks presented at the workshops, latest results obtained thereafter, and some review articles. The subjects discussed range across diverse areas such as algebraic geometry, combinatorics, differential equations, integrable systems, representation theory, solvable lattice models and special functions.

Through these topics, the reader will find some recent developments in the field of mathematical physics and their interactions with several other domains.

Автор: Bruno Gruber; L.C. Biedenharn; H.D. D?bner
Название: Symmetries in Science V
ISBN: 1461366437 ISBN-13(EAN): 9781461366430
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Описание: Proceedings of a symposium held in Landesbildungszentrum Schloss Hofen, Lochau, Vorarlberg, Austria, July 30-August 3, 1990

Автор: Fuchs/Schweigert
Название: Symmetries, Lie Algebras and Representations
ISBN: 0521541190 ISBN-13(EAN): 9780521541190
Издательство: Cambridge Academ
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Описание: This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.

Автор: Conway, John H. Burgiel, Heidi Goodman-strauss, Ch
Название: Symmetries of things
ISBN: 1568812205 ISBN-13(EAN): 9781568812205
Издательство: Taylor&Francis
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Описание: Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. This title develops a mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments.