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1. |
Record Nr. |
UNISA996466715503316 |
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Titolo |
Differential Geometry, Group Representations, and Quantization [[electronic resource] /] / edited by Jörg-Dieter Hennig, Wolfgang Lücke, Jiri Tolar |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1991 |
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ISBN |
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Edizione |
[1st ed. 1991.] |
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Descrizione fisica |
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1 online resource (XI, 280 p.) |
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Collana |
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Lecture Notes in Physics, , 0075-8450 ; ; 379 |
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Disciplina |
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Soggetti |
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Physics |
Quantum computers |
Spintronics |
Quantum physics |
Differential geometry |
Mathematical Methods in Physics |
Numerical and Computational Physics, Simulation |
Quantum Information Technology, Spintronics |
Quantum Physics |
Differential Geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Global differential geometric methods in elasticity and hydrodynamics -- GL(n, ?), tetrads and generalized space-time dynamics -- On boundary conditions for Yang-Mills fields in spatially bounded domains -- Parallel transport of phases -- An alternative approach to the quantization of linear relativistic field equations -- A lattice approximation of the dirac equation -- Some hidden aspects of hidden symmetry -- A baryon standard model for electroweak and strong interactions -- Is the physical vacuum really Lorentz-invariant? -- Quantization, coherent states and diffeomorphism groups -- Borel quantization and the origin of topological effects in quantum mechanics -- Symmetries of quantum group coupling coefficients -- Symmetry groups and spectrum generating groups -- Spectrum and |
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character formulae of so(3, 2) unitary representations -- Quantum theory of single events -- Symmetry, entropy and complexity -- Steps in the philosophy of quantum theory. |
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Sommario/riassunto |
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Differential geometry and analytic group theory are among the most powerful tools in mathematical physics. This volume presents review articles on a wide variety of applications of these techniques in classical continuum physics, gauge theories, quantization procedures, and the foundations of quantum theory. The articles, written by leading scientists, address both researchers and grad- uate students in mathematics, physics, and philosophy of science. |
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2. |
Record Nr. |
UNINA9910788879703321 |
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Autore |
Feit Paul <1959-> |
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Titolo |
Axiomization of passage from "local" structure to "global" object / / Paul Feit |
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Pubbl/distr/stampa |
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Providence, Rhode Island, United States : , : American Mathematical Society, , 1993 |
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©1993 |
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ISBN |
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Descrizione fisica |
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1 online resource (121 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 101, Number 485 |
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Disciplina |
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Soggetti |
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Geometry, Algebraic |
Categories (Mathematics) |
Toposes |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 1993, Volume 101, Number 485 (end of volume)"--Cover. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""TABLE OF CONTENTS""; ""INTRODUCTION""; ""INDEX OF TERMS""; ""PART I: TERMINOLOGY""; ""1. Standard Notations""; ""2. Grothendieck Topologies""; ""PART II: CANOPIES""; ""3. The Category of Canopies""; ""4. Lifting a Universe of Subsets to Canopies""; ""5. A Topology for Canopies""; ""6. Functorial Properties of Canopies""; ""PART III: CANOPIES AND COLIMITS""; ""7. Monomorphisms""; ""8. Graph Reductions""; ""9. Absolute Covers and Limits in C[sup(P)]""; ""10. |
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Pullback Systems""; ""PART IV: SMOOTHING""; ""11. The Smoothing Functor""; ""12. Plus Functors and Topological Properties"" |
""13. Functorial Properties and Smoothing""""PART V: LOCAL AND GLOBAL STRUCTURES""; ""14. The Local and Global Axioms""; ""15. Lifting Layered Morphisms""; ""16. The Plus Topology""; ""REFERENCES"" |
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