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1 Marmo, G Classical and Quantum Physics I08690 2019 eBook  
2 Ungar, Abraham A Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession I11260 2001 eBook  
3 Ungar, A.A Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession I10899 2002 eBook  
4 Pavsic, M The Landscape of Theoretical Physics: A Global View I10575 2002 eBook  
5 Duplij, S Concise Encyclopedia of Supersymmetry I10524 2004 eBook  
6 Doktorov, Evgeny V A Dressing Method in Mathematical Physics I05617 2007 eBook  
7 Borowiec, Andrzej Spinors, Twistors, Clifford Algebras and Quantum Deformations I05350 1993 eBook  
8 Micali, A Clifford Algebras and their Applications in Mathematical Physics I05136 1992 eBook  
9 Brackx, F Clifford Algebras and their Applications in Mathematical Physics I05015 1993 eBook  
10 Van Oystaeyen, Freddy Methods in Ring Theory I04623 1984 eBook  
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TitleClassical and Quantum Physics : 60 Years Alberto Ibort Fest Geometry, Dynamics, and Control
Author(s)Marmo, G;Mart??n de Diego, David;Mu??oz Lecanda, Miguel
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2019.
DescriptionXXVI, 374 p. 46 illus., 14 illus. in color : online resource
Abstract NoteThis proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas. Most of Albertos???s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply related to the framework of classical dynamics and quantum mechanics. Let us mention some of the fields of expertise of Alberto Ibort: Geometric Mechanics; Constrained Systems; Variational Principles; Multisymplectic structures for field theories; Super manifolds; Inverse problem for Bosonic and Fermionic systems; Quantum Groups, Integrable systems, BRST Symmetries; Implicit differential equations; Yang-Mills Theories; BiHamiltonian Systems; Topology Change and Quantum Boundary Conditions; Classical and Quantum Control; Orthogonal Polynomials; Quantum Field Theory and Noncommutative Spaces; Classical and Quantum Tomography; Quantum Mechanics on phase space; Wigner-Weyl formalism; Lie-Jordan Algebras, Classical and Quantum; Quantum-to-Classical transition; Contraction of Associative Algebras; contact geometry, among many others. In each contribution, one may find not only technical novelties but also completely new way of looking at the considered problems. Even an experienced reader, reading Alberto's contributions on his field of expertise, will find new perspectives on the considered topic. His enthusiasm is happily contagious, for this reason he has had, and still has, very bright students wishing to elaborate their PhD thesis under his guidance.What is more impressive, is the broad list of rather different topics on which he has contributed
ISBN,Price9783030247485
Keyword(s)1. Associative rings 2. Associative Rings and Algebras 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. COMPLEX MANIFOLDS 6. DIFFERENTIAL GEOMETRY 7. EBOOK 8. EBOOK - SPRINGER 9. Manifolds (Mathematics) 10. Manifolds and Cell Complexes (incl. Diff.Topology) 11. MATHEMATICAL PHYSICS 12. Rings (Algebra) 13. Theoretical, Mathematical and Computational Physics
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TitleBeyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces
Author(s)Ungar, Abraham A
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2001.
DescriptionXLII, 419 p. 25 illus : online resource
Abstract Note"I cannot define coincidence [in mathematics]. But 1 shall argue that coincidence can always be elevated or organized into a superstructure which perfonns a unification along the coincidental elements. The existence of a coincidence is strong evidence for the existence of a covering theory. " -Philip 1. Davis [Dav81] Alluding to the Thomas gyration, this book presents the Theory of gy?? rogroups and gyrovector spaces, taking the reader to the immensity of hyper?? bolic geometry that lies beyond the Einstein special theory of relativity. Soon after its introduction by Einstein in 1905 [Ein05], special relativity theory (as named by Einstein ten years later) became overshadowed by the ap?? pearance of general relativity. Subsequently, the exposition of special relativity followed the lines laid down by Minkowski, in which the role of hyperbolic ge?? ometry is not emphasized. This can doubtlessly be explained by the strangeness and unfamiliarity of hyperbolic geometry [Bar98]. The aim of this book is to reverse the trend of neglecting the role of hy?? perbolic geometry in the special theory of relativity, initiated by Minkowski, by emphasizing the central role that hyperbolic geometry plays in the theory
ISBN,Price9789401091220
Keyword(s)1. Astronomy, Observations and Techniques 2. Astronomy???Observations 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL PHYSICS 6. Non-associative Rings and Algebras 7. Nonassociative rings 8. Observations, Astronomical 9. Rings (Algebra) 10. Theoretical, Mathematical and Computational Physics
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TitleBeyond the Einstein Addition Law and its Gyroscopic Thomas Precession : The Theory of Gyrogroups and Gyrovector Spaces
Author(s)Ungar, A.A
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2002.
Description464 p : online resource
Abstract NoteEvidence that Einstein's addition is regulated by the Thomas precession has come to light, turning the notorious Thomas precession, previously considered the ugly duckling of special relativity theory, into the beautiful swan of gyrogroup and gyrovector space theory, where it has been extended by abstraction into an automorphism generator, called the Thomas gyration. The Thomas gyration, in turn, allows the introduction of vectors into hyperbolic geometry, where they are called gyrovectors, in such a way that Einstein's velocity additions turns out to be a gyrovector addition. Einstein's addition thus becomes a gyrocommutative, gyroassociative gyrogroup operation in the same way that ordinary vector addition is a commutative, associative group operation. Some gyrogroups of gyrovectors admit scalar multiplication, giving rise to gyrovector spaces in the same way that some groups of vectors that admit scalar multiplication give rise to vector spaces. Furthermore, gyrovector spaces form the setting for hyperbolic geometry in the same way that vector spaces form the setting for Euclidean geometry. In particular, the gyrovector space with gyrovector addition given by Einstein's (M??bius') addition forms the setting for the Beltrami (Poincar??) ball model of hyperbolic geometry. The gyrogroup-theoretic techniques developed in this book for use in relativity physics and in hyperbolic geometry allow one to solve old and new important problems in relativity physics. A case in point is Einstein's 1905 view of the Lorentz length contraction, which was contradicted in 1959 by Penrose, Terrell and others. The application of gyrogroup-theoretic techniques clearly tilt the balance in favor of Einstein
ISBN,Price9780306471346
Keyword(s)1. Astronomy, Observations and Techniques 2. Astronomy???Observations 3. EBOOK 4. EBOOK - SPRINGER 5. GEOMETRY 6. MATHEMATICAL PHYSICS 7. Non-associative Rings and Algebras 8. Nonassociative rings 9. Observations, Astronomical 10. Rings (Algebra) 11. Theoretical, Mathematical and Computational Physics
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TitleThe Landscape of Theoretical Physics: A Global View : From Point Particles to the Brane World and Beyond in Search of a Unifying Principle
Author(s)Pavsic, M
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2002.
DescriptionXXII, 374 p : online resource
Abstract NoteToday many important directions of research are being pursued more or less independently of each other. These are, for instance, strings and mem branes, induced gravity, embedding of spacetime into a higher dimensional space, the brane world scenario, the quantum theory in curved spaces, Fock Schwinger proper time formalism, parametrized relativistic quantum the ory, quantum gravity, wormholes and the problem of ???time machines???, spin and supersymmetry, geometric calculus based on Clifford algebra, various interpretations of quantum mechanics including the Everett interpretation, and the recent important approach known as ???decoherence???. A big problem, as I see it, is that various people thoroughly investigate their narrow field without being aware of certain very close relations to other fields of research. What we need now is not only to see the trees but also the forest. In the present book I intend to do just that: to carry out a first approximation to a synthesis of the related fundamental theories of physics. I sincerely hope that such a book will be useful to physicists. From a certain viewpoint the book could be considered as a course in the oretical physics in which the foundations of all those relevant fundamental theories and concepts are attempted to be thoroughly reviewed. Unsolved problems and paradoxes are pointed out. I show that most of those ap proaches have a common basis in the theory of unconstrained membranes. The very interesting and important concept of membrane space, the tensor calculus in and functional transformations in are discussed
ISBN,Price9780306471360
Keyword(s)1. Associative rings 2. Associative Rings and Algebras 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. FUNCTIONAL ANALYSIS 8. MATHEMATICAL PHYSICS 9. QUANTUM FIELD THEORY 10. QUANTUM PHYSICS 11. Rings (Algebra) 12. Theoretical, Mathematical and Computational Physics
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TitleConcise Encyclopedia of Supersymmetry : And Noncommutative Structures in Mathematics and Physics
Author(s)Duplij, S
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2004.
DescriptioneReference : online resource
Abstract NoteThe book is the first full-size Encyclopedia which simultaneously covers such well-established and modern subjects as quantum field theory, supersymmetry, supergravity, M-theory, black holes and quantum gravity, noncommutative geometry, representation theory, categories and quantum groups, and their generalizations. The extraordinary historical part "the SUSY story," more than 700 authored articles from more than 250 high-level experts (including Nobel Prize Winner Gerard 't Hooft), a detailed (50 pages) Subject/Article three level index and an Author index, make the SUSY Encyclopedia an outstanding and indispensable book on the desk of researchers, experts, Ph.D. students, specialists and professionals in modern methods of theoretical and mathematical physics
ISBN,Price9781402045226
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. MATHEMATICAL PHYSICS 6. Non-associative Rings and Algebras 7. Nonassociative rings 8. Rings (Algebra) 9. Theoretical, Mathematical and Computational Physics
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TitleA Dressing Method in Mathematical Physics
Author(s)Doktorov, Evgeny V;Leble, Sergey B
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2007.
DescriptionXXIV, 383 p : online resource
Abstract NoteThe monograph is devoted to the systematic presentation of the so called "dressing method" for solving differential equations (both linear and nonlinear) of mathematical physics. The essence of the dressing method consists in a generation of new non-trivial solutions of a given equation from (maybe trivial) solution of the same or related equation. The Moutard and Darboux transformations discovered in XIX century as applied to linear equations, the B??cklund transformation in differential geometry of surfaces, the factorization method, the Riemann-Hilbert problem in the form proposed by Shabat and Zakharov for soliton equations and its extension in terms of the d-bar formalism comprise the main objects of the book. Throughout the text, a generally sufficient "linear experience" of readers is exploited, with a special attention to the algebraic aspects of the main mathematical constructions and to practical rules of obtaining new solutions. Various linear equations of classical and quantum mechanics are solved by the Darboux and factorization methods. An extension of the classical Darboux transformations to nonlinear equations in 1+1 and 2+1 dimensions, as well as its factorization are discussed in detail. The applicability of the local and non-local Riemann-Hilbert problem-based approach and its generalization in terms of the d-bar method are illustrated on various nonlinear equations
ISBN,Price9781402061400
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL ELECTRODYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. ELECTRODYNAMICS 7. ENGINEERING MATHEMATICS 8. Functions of a Complex Variable 9. FUNCTIONS OF COMPLEX VARIABLES 10. Mathematical and Computational Engineering 11. Mathematical Methods in Physics 12. Non-associative Rings and Algebras 13. Nonassociative rings 14. OPTICS 15. PHYSICS 16. Rings (Algebra)
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TitleSpinors, Twistors, Clifford Algebras and Quantum Deformations : Proceedings of the Second Max Born Symposium held near Wroc??aw, Poland, September 1992
Author(s)Borowiec, Andrzej;Jancewicz, Bernard;Oziewicz, Zbigniew
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1993.
DescriptionXXV, 430 p : online resource
Abstract NoteZBIGNIEW OZIEWICZ University of Wroclaw, Poland December 1992 The First Max Born Symposium in Theoretical and Mathematical Phy?? sics, organized by the University of Wrodaw, was held in September 1991 with the intent that it would become an annual event. It is the outgrowth of the annual Seminars organized jointly since 1972 with the University of Leipzig. The name of the Symposia was proposed by Professor Jan Lopu?? szanski. Max Born, an outstanding German theoretical physicist, was born in 1883 in Breslau (the German name of Wrodaw) and educated here. The Second Max Born Symposium was held during the four days 24- 27 September 1992 in an old Sobotka Castle 30 km west of Wrodaw. The Sobotka Castle was built in the eleventh century. The dates engraved on the walls of the Castle are 1024, 1140, and at the last rebuilding, 1885. The castle served as a cloister until the end of the sixteenth century
ISBN,Price9789401117197
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. MATHEMATICAL PHYSICS 4. Non-associative Rings and Algebras 5. Nonassociative rings 6. Rings (Algebra) 7. Theoretical, Mathematical and Computational Physics
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TitleClifford Algebras and their Applications in Mathematical Physics
Author(s)Micali, A;Boudet, R;Helmstetter, J
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1992.
DescriptionX, 526 p : online resource
Abstract NoteThis volume contains selected papers presented at the Second Workshop on Clifford Algebras and their Applications in Mathematical Physics. These papers range from various algebraic and analytic aspects of Clifford algebras to applications in, for example, gauge fields, relativity theory, supersymmetry and supergravity, and condensed phase physics. Included is a biography and list of publications of M??rio Schenberg, who, next to Marcel Riesz, has made valuable contributions to these topics. This volume will be of interest to mathematicians working in the fields of algebra, geometry or special functions, to physicists working on quantum mechanics or supersymmetry, and to historians of mathematical physics
ISBN,Price9789401580908
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. Associative rings 4. Associative Rings and Algebras 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. QUANTUM PHYSICS 9. Rings (Algebra)
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TitleClifford Algebras and their Applications in Mathematical Physics : Proceedings of the Third Conference held at Deinze, Belgium, 1993
Author(s)Brackx, F;Delanghe, R;Serras, H
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1993.
DescriptionXII, 411 p. 2 illus : online resource
Abstract NoteThis International Conference on Clifford AlgebrfU and Their Application, in Math?? ematical Phy,ic, is the third in a series of conferences on this theme, which started at the Univer,ity of Kent in Canterbury in 1985 and was continued at the Univer,iU de, Science, et Technique, du Languedoc in Montpellier in 1989. Since the start of this series of Conferences the research fields under consideration have evolved quite a lot. The number of scientific papers on Clifford Algebra, Clifford Analysis and their impact on the modelling of physics phenomena have increased tremendously and several new books on these topics were published. We were very pleased to see old friends back and to wellcome new guests who by their inspiring talks contributed fundamentally to tracing new paths for the future development of this research area. The Conference was organized in Deinze, a small rural town in the vicinity of the University town Gent. It was hosted by De Ceder, a vacation and seminar center in a green area, a typical landscape of Flanders's "plat pays" . The Conference was attended by 61 participants coming from 18 countries; there were 10 main talks on invitation, 37 contributions accepted by the Organizing Com?? mittee and a poster session. There was also a book display of Kluwer Academic Publishers. As in the Proceedings of the Canterbury and Montpellier conferences we have grouped the papers accordingly to the themes they are related to: Clifford Algebra, Clifford Analysis, Classical Mechanics, Mathematical Physics and Physics Models
ISBN,Price9789401120067
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Applications of Mathematics 4. APPLIED MATHEMATICS 5. Associative rings 6. Associative Rings and Algebras 7. EBOOK 8. EBOOK - SPRINGER 9. ENGINEERING MATHEMATICS 10. MATHEMATICAL ANALYSIS 11. MATHEMATICAL PHYSICS 12. Rings (Algebra) 13. Theoretical, Mathematical and Computational Physics
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TitleMethods in Ring Theory
Author(s)Van Oystaeyen, Freddy
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1984.
DescriptionVIII, 576 p : online resource
ISBN,Price9789400963696
Keyword(s)1. ALGEBRA 2. Associative rings 3. Associative Rings and Algebras 4. EBOOK 5. EBOOK - SPRINGER 6. Non-associative Rings and Algebras 7. Nonassociative rings 8. Rings (Algebra)
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