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 #  AuthorTitleAccn#YearItem Type Claims
1 Saller, Heinrich Operational Symmetries I10249 2017 eBook  
2 Schwichtenberg, Jakob Physics from Symmetry I09443 2018 eBook  
3 Cassinelli, Gianni The Theory of Symmetry Actions in Quantum Mechanics I11185 2004 eBook  
4 Ali, Syed T Coherent States, Wavelets and Their Generalizations I10838 2000 eBook  
5 Teodorescu, Petre P Applications of the Theory of Groups in Mechanics and Physics I10502 2004 eBook  
6 Carow-Watamura, Ursula Quantum Field Theory and Noncommutative Geometry I08223 2005 eBook  
7 Unterberger, J??r??mie The Schr??dinger-Virasoro Algebra I08215 2012 eBook  
8 Schwichtenberg, Jakob Physics from Symmetry I08072 2015 eBook  
9 Torres del Castillo, Gerardo F Spinors in Four-Dimensional Spaces I06897 2010 eBook  
10 Saller, Heinrich Operational Quantum Theory I I06761 2006 eBook  
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TitleOperational Symmetries : Basic Operations in Physics
Author(s)Saller, Heinrich
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXI, 574 p : online resource
Abstract NoteThis book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space. The spectrum of hyperbolic position space explains the properties of the nonrelativistic atoms; the spectrum of electroweak spacetime is hoped to explain those of the basic interactions and elementary particles. In this book, the theory of operational symmetries is developed from the numbers, from Plato???s and Kepler???s symmetries over the simple Lie groups to their applications in nonrelativistic, special relativistic and general relativistic quantum theories with the atomic spectrum for hyperbolic position and, in first attempts, the particle spectrum for electroweak spacetime. The standard model of elementary particles and interactions is characterized by a symmetry group. In general, as initiated by Weyl and stressed by Heisenberg, quantum theory can be built as a theory of operation groups and their unitary representations. In such a framework, time, position and spacetime is modeled by equivalence classes of symmetry groups. For a unification on this road, the quest is not for a final theory with a basic equation for basic particles, but for the basic operation group and its representations.
ISBN,Price9783319586649
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. EBOOK 3. EBOOK - SPRINGER 4. GRAVITATION 5. LIE GROUPS 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. QUANTUM PHYSICS 10. TOPOLOGICAL GROUPS 11. Topological Groups, Lie Groups
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TitlePhysics from Symmetry
Author(s)Schwichtenberg, Jakob
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionXXI, 287 p. 28 illus., 15 illus. in color : online resource
Abstract NoteThis is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.??
ISBN,Price9783319666310
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. LIE GROUPS 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. NUCLEAR PHYSICS 7. Particle and Nuclear Physics 8. PHYSICS 9. TOPOLOGICAL GROUPS 10. Topological Groups, Lie Groups
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TitleThe Theory of Symmetry Actions in Quantum Mechanics : with an Application to the Galilei Group
Author(s)Cassinelli, Gianni;Vito, Ernesto;Levrero, Alberto;Lahti, Pekka J
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2004.
DescriptionXII, 111 p : online resource
Abstract NoteThis is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given
ISBN,Price9783540445098
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. LIE GROUPS 6. Mathematical Methods in Physics 7. PHYSICS 8. QUANTUM PHYSICS 9. TOPOLOGICAL GROUPS 10. Topological Groups, Lie Groups
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TitleCoherent States, Wavelets and Their Generalizations
Author(s)Ali, Syed T;Antoine, J-P;Gazeau, Jean-Perre
PublicationNew York, NY, 1. Imprint: Springer 2. Springer New York, 2000.
DescriptionXIII, 418 p : online resource
Abstract NoteNitya kaaler utshab taba Bishyer-i-dipaalika Aami shudhu tar-i-mateer pradeep Jaalao tahaar shikhaa 1 - Tagore Should authors feel compelled to justify the writing of yet another book? In an overpopulated world, should parents feel compelled to justify bringing forth yet another child? Perhaps not! But an act of creation is also an act of love, and a love story can always be happily shared. In writing this book, it has been our feeling that, in all of the wealth of material on coherent states and wavelets, there exists a lack of a discern?? able, unifying mathematical perspective. The use of wavelets in research and technology has witnessed explosive growth in recent years, while the use of coherent states in numerous areas of theoretical and experimental physics has been an established trend for decades. Yet it is not at all un?? common to find practitioners in either one of the two disciplines who are hardly aware of one discipline's links to the other. Currently, many books are on the market that treat the subject of wavelets from a wide range of perspectives and with windows on one or several areas of a large spectrum IThine is an eternal celebration '" A cosmic Festival of Lights! '" Therein I am a mere flicker of a wicker lamp, , . 0 kindle its flame (my Master!), vi Preface of possible applications
ISBN,Price9781461212584
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. LIE GROUPS 4. QUANTUM COMPUTERS 5. Quantum Information Technology, Spintronics 6. QUANTUM PHYSICS 7. SPINTRONICS 8. TOPOLOGICAL GROUPS 9. Topological Groups, Lie Groups
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TitleApplications of the Theory of Groups in Mechanics and Physics
Author(s)Teodorescu, Petre P;Nicorovici, Nicolae-A.P
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2004.
DescriptionXIV, 446 p. 17 illus : online resource
Abstract NoteThe notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In mathematics, as in other sciences, the simple and fertile ideas make their way with difficulty and slowly; however, this long history would have been of a minor interest, had the notion of group remained connected only with rather restricted domains of mathematics, those in which it occurred at the beginning. But at present, groups have invaded almost all mathematical disciplines, mechanics, the largest part of physics, of chemistry, etc. We may say, without exaggeration, that this is the most important idea that occurred in mathematics since the invention of infinitesimal calculus; indeed, the notion of group expresses, in a precise and operational form, the vague and universal ideas of regularity and symmetry. The notion of group led to a profound understanding of the character of the laws which govern natural phenomena, permitting to formulate new laws, correcting certain inadequate formulations and providing unitary and non?? contradictory formulations for the investigated phenomena
ISBN,Price9781402020476
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. Heavy ions 7. LIE GROUPS 8. MATHEMATICAL PHYSICS 9. NUCLEAR PHYSICS 10. Nuclear Physics, Heavy Ions, Hadrons 11. PARTIAL DIFFERENTIAL EQUATIONS 12. Theoretical, Mathematical and Computational Physics 13. TOPOLOGICAL GROUPS 14. Topological Groups, Lie Groups
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TitleQuantum Field Theory and Noncommutative Geometry
Author(s)Carow-Watamura, Ursula;Maeda, Yoshiaki;Watamura, Satoshi
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2005.
DescriptionX, 298 p : online resource
Abstract NoteThis volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on "Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in making the contributions accessible to a wider community of readers - so this volume will not only benefit researchers in the field but also postgraduate students and scientists from related areas wishing to become better acquainted with this field
ISBN,Price9783540315261
Keyword(s)1. ALGEBRAIC TOPOLOGY 2. DIFFERENTIAL GEOMETRY 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. LIE GROUPS 8. Mathematical Methods in Physics 9. PHYSICS 10. QUANTUM FIELD THEORY 11. TOPOLOGICAL GROUPS 12. Topological Groups, Lie Groups
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TitleThe Schr??dinger-Virasoro Algebra : Mathematical structure and dynamical Schr??dinger symmetries
Author(s)Unterberger, J??r??mie;Roger, Claude
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2012.
DescriptionXLII, 302 p : online resource
Abstract NoteThis monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure???the Schr??dinger-Virasoro algebra. Just as Poincar?? invariance or conformal (Virasoro) invariance play a key role in understanding, respectively, elementary particles and two-dimensional equilibrium statistical physics, this algebra of non-relativistic conformal symmetries may be expected to apply itself naturally to the study of some models of non-equilibrium statistical physics, or more specifically in the context of recent developments related to the non-relativistic AdS/CFT correspondence. ?? The study of the structure of this infinite-dimensional Lie algebra touches upon topics as various as statistical physics, vertex algebras, Poisson geometry, integrable systems and supergeometry as well as representation theory, the cohomology of infinite-dimensional Lie algebras, and the spectral theory of Schr??dinger operators.
ISBN,Price9783642227172
Keyword(s)1. Category theory (Mathematics) 2. Category Theory, Homological Algebra 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. Homological algebra 8. LIE GROUPS 9. Mathematical Methods in Physics 10. MATHEMATICAL PHYSICS 11. PHYSICS 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. TOPOLOGICAL GROUPS 15. Topological Groups, Lie Groups
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TitlePhysics from Symmetry
Author(s)Schwichtenberg, Jakob
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2015.
DescriptionXIX, 279 p. 31 illus., 17 illus. in color : online resource
Abstract NoteThis??is a textbook that derives the fundamental theories of physics from??symmetry. ?? It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations
ISBN,Price9783319192017
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. LIE GROUPS 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. NUCLEAR PHYSICS 7. Particle and Nuclear Physics 8. PHYSICS 9. TOPOLOGICAL GROUPS 10. Topological Groups, Lie Groups
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TitleSpinors in Four-Dimensional Spaces
Author(s)Torres del Castillo, Gerardo F
PublicationBoston, MA, 1. Birkh??user Boston 2. Imprint: Birkh??user, 2010.
DescriptionVIII, 177 p : online resource
Abstract NoteWithout using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the two-component spinor formalism for four-dimensional spaces with any signature. Some of the useful applications of four-dimensional spinors, such as Yang???Mills theory, are derived in detail using illustrative examples. Key topics and features: ??? Uniform treatment of the spinor formalism for four-dimensional spaces of any signature, not only the usual signature (+ + + ???) employed in relativity ??? Examples taken from Riemannian geometry and special or general relativity are discussed in detail, emphasizing the usefulness of the two-component spinor formalism ??? Exercises in each chapter ??? The relationship of Clifford algebras and Dirac four-component spinors is established ??? Applications of the two-component formalism, focusing mainly on general relativity, are presented in the context of actual computations Spinors in Four-Dimensional Spaces is aimed at graduate students and researchers in mathematical and theoretical physics interested in the applications of the two-component spinor formalism in any four-dimensional vector space or Riemannian manifold with a definite or indefinite metric tensor. This systematic and self-contained book is suitable as a seminar text, a reference book, and a self-study guide. Reviews from the author's previous book, 3-D Spinors, Spin-Weighted Functions and their Applications: In summary???the book gathers much of what can be done with 3-D spinors in an easy-to-read, self-contained form designed for applications that will supplement many available spinor treatments. The book???should be appealing to graduate students and researchers in relativity and mathematical physics. ???Mathematical Reviews The present book provides an easy-to-read and unconventional presentation of the spinor formalism for three-dimensional spaces with a definite or indefinite metric...Following a nice and descriptive introduction???the final chapter contains some applications of the formalism to general relativity. ???Monatshefte f??r Mathematik
ISBN,Price9780817649845
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. Classical and Quantum Gravitation, Relativity Theory 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. GRAVITATION 8. LIE GROUPS 9. Mathematical Methods in Physics 10. PHYSICS 11. TOPOLOGICAL GROUPS 12. Topological Groups, Lie Groups
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10.    
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TitleOperational Quantum Theory I : Nonrelativistic Structures
Author(s)Saller, Heinrich
PublicationNew York, NY, 1. Imprint: Springer 2. Springer New York, 2006.
DescriptionXIV, 408 p : online resource
Abstract NoteOperational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level. The classically oriented hierarchy with objects such as particles as the primary focus, and interactions of these objects as the secondary focus is reversed with the operational interactions as basic quantum structures. Quantum theory, specifically nonrelativistic quantum mechanics, is developed from the theory of Lie group and Lie algebra operations acting on both finite and infinite dimensional vector spaces. In this book, time and space related finite dimensional representation structures and simple Lie operations, and as a non-relativistic application, the Kepler problem which has long fascinated quantum theorists, are dealt with in some detail. Operational Quantum Theory I features many structures which allow the reader to better understand the applications of operational quantum theory, and to provide conceptually appropriate descriptions of the subject. Operational Quantum Theory I aims to understand more deeply on an operational basis what one is working with in nonrelativistic quantum theory, but also suggests new approaches to the characteristic problems of quantum mechanics
ISBN,Price9780387346434
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. LIE GROUPS 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. PHYSICS 7. QUANTUM PHYSICS 8. Theoretical, Mathematical and Computational Physics 9. TOPOLOGICAL GROUPS 10. Topological Groups, Lie Groups
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