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

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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Цена: 67750 T
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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.

Автор: Yvette Kosmann-Schwarzbach
Название: Groups and Symmetries
ISBN: 0387788654 ISBN-13(EAN): 9780387788654
Издательство: Springer
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Цена: 52700 T
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Описание: The theory of group representations is a fundamental subject at the intersection of algebra, geometry and analysis, with innumerable applications in other domains of pure mathematics and in the physical sciences. This book offers an introduction to both the theory of group representations and its applications in quantum mechanics.

Автор: Michael Ruzhansky; Ville Turunen
Название: Pseudo-Differential Operators and Symmetries
ISBN: 3764385138 ISBN-13(EAN): 9783764385132
Издательство: Springer
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Цена: 67030 T
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Описание: Traditionally, the theory of pseudo-differential operators was introduced in the Euclidean setting with the aim of tackling a number of important problems in analysis and in the theory of partial differential equations. This book presents a monograph that develops a global quantization theory of pseudo-differential operators on compact Lie groups.

Автор: Bruno Gruber; Giuseppe Marmo; Naotaka Yoshinaga
Название: Symmetries in Science XI
ISBN: 9048166926 ISBN-13(EAN): 9789048166923
Издательство: Springer
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Цена: 286540 T
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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: Hazod W., Siebert Eberhard
Название: Stable Probability Measures on Euclidean Spaces and on Locally Compact Groups / Structural Properties and Limit Theorems
ISBN: 1402000405 ISBN-13(EAN): 9781402000409
Издательство: Springer
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Цена: 124580 T
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Описание: Generalising classical concepts of probability theory, the investigation of operator (semi)-stable laws as possible limit distributions of operator-normalized sums of i.i.d. random variable on finite-dimensional vector space started in 1969. Currently, this theory is still in progress and promises interesting applications. Parallel to this, similar stability concepts for probabilities on groups were developed during recent decades. It turns out that the existence of suitable limit distributions has a strong impact on the structure of both the normalizing automorphisms and the underlying group. Indeed, investigations in limit laws led to contractable groups and - at least within the class of connected groups - to homogeneous groups, in particular to groups that are topologically isomorphic to a vector space. Moreover, it has been shown that (semi)-stable measures on groups have a vector space counterpart and vice versa. The purpose of this book is to describe the structure of limit laws and the limit behaviour of normalized i.i.d. random variables on groups and on finite-dimensional vector spaces from a common point of view. This will also shed a new light on the classical situation. Chapter 1 provides an introduction to stability problems on vector spaces. Chapter II is concerned with parallel investigations for homogeneous groups and in Chapter III the situation beyond homogeneous Lie groups is treated. Throughout, emphasis is laid on the description of features common to the group- and vector space situation. Chapter I can be understood by graduate students with some background knowledge in infinite divisibility. Readers of Chapters II and III are assumed to be familiar with basic techniques from probability theory on locally compact groups.

Автор: Ernesto Buzano; Luigi Rodino
Название: Global Pseudo-differential Calculus on Euclidean Spaces
ISBN: 3764385111 ISBN-13(EAN): 9783764385118
Издательство: Springer
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Цена: 86200 T
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Описание: Presents a global pseudo-differential calculus in Euclidean spaces, that includes SG as well as Shubin classes and their generalizations containing Schroedinger operators with non-polynomial potentials. This book includes classic calculus as a special case. It is suitable for graduate students and researchers in PDEs and mathematical physics.

Автор: Martinet Jacques
Название: Perfect Lattices in Euclidean Spaces
ISBN: 3540442367 ISBN-13(EAN): 9783540442363
Издательство: Springer
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Цена: 134150 T
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Описание: Lattices are discrete subgroups of maximal rank in a Euclidean space. To each such geometrical object, we can attach a canonical sphere packing which, assuming some regularity, has a density. The question of estimating the highest possible density of a sphere packing in a given dimension is a fascinating and difficult problem: the answer is known only up to dimension 3.This book thus discusses a beautiful and central problem in mathematics, which involves geometry, number theory, coding theory and group theory, centering on the study of extreme lattices, i.e. those on which the density attains a local maximum, and on the so-called perfection property.Written by a leader in the field, it is closely related to, though disjoint in content from, the classic book by J.H. Conway and N.J.A. Sloane, Sphere Packings, Lattices and Groups, published in the same series as vol. 290.Every chapter except the first and the last contains numerous exercises. For simplicity those chapters involving heavy computational methods contain only few exercises. It includes appendices on Semi-Simple Algebras and Quaternions and Strongly Perfect Lattices.

Автор: Efstathiou Konstantinos
Название: Metamorphoses of Hamiltonian Systems with Symmetries
ISBN: 354024316X ISBN-13(EAN): 9783540243168
Издательство: Springer
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Цена: 33500 T
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Описание: Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy.

Автор: Claus M?ller
Название: Analysis of Spherical Symmetries in Euclidean Spaces
ISBN: 1461268273 ISBN-13(EAN): 9781461268277
Издательство: Springer
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Цена: 105410 T
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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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Цена: 71860 T
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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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Цена: 57490 T
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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: Izquierdo, Broughton, Costa & Ro
Название: Riemann And Klein Surfaces, Automorphisms, Symmetries And Moduli Spaces (Conm/629)
ISBN: 1470410931 ISBN-13(EAN): 9781470410933
Издательство: Eurospan
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Цена: 136380 T
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Описание: This volume contains the proceedings of the conference on Riemann and Klein Surfaces, Symmetries and Moduli Spaces, in honor of Emilio Bujalance, held from June 24-28, 2013, at Linkoping University.The conference and this volume are devoted to the mathematics that Emilio Bujalance has worked with in the following areas, all with a computational flavor: Riemann and Klein surfaces, automorphisms of real and complex surfaces, group actions on surfaces and topological properties of moduli spaces of complex curves and Abelian varieties.