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Proceedings of a Workshop Held at Clausthal, Federal Republic of Germany 1981

"Non-Linear Partial Differential Operators and Quantization Procedures" was published by Springer London, Limited in 2006 - Berlin, Heidelberg, it has 1 pages and the language of the book is English.


“Non-Linear Partial Differential Operators and Quantization Procedures” Metadata:

  • Title: ➤  Non-Linear Partial Differential Operators and Quantization Procedures
  • Authors:
  • Language: English
  • Number of Pages: 1
  • Publisher: Springer London, Limited
  • Publish Date:
  • Publish Location: Berlin, Heidelberg

Edition Specifications:

  • Pagination: viii, 337

Edition Identifiers:

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"Non-Linear Partial Differential Operators and Quantization Procedures" Description:

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Intro -- Title Page -- Copyright Page -- PREFACE -- TABLE OF CONTENTS -- PART I Non-linear Partial Differential Operators -- EINSTEIN'S EVOLUTION EQUATION FOR THE VACUUM FORMULATED ON A SPACE OF DIFFERENTIALS OF IMMERSIONS -- 0. Introduction -- 1) A review of the formulation of Einstein's evolution equation for the vacuum (without shift and with lapse one) on the space of all Riemannian COO-metrics following -- 2) Differentials of immersions -- 3) The De Witt metric on C~(M,SO(n)) x S*(M) -- 4) The spray for G -- 5) The relation between S2 and the spray of the De Wittmetricon .h(M) -- 6) The De Witt metric on 01/IRn -- 7) The spray of the De Witt metric on nI (M ,IR ) /IRn -- 8) Eirstein's evolution equation for the vacuum on nI (M,IRn ) /IRn -- REFERENCES -- Nonlinear Sigma Models on Symmetric Spaces -- 1. Introduction -- 2. The Sigma Model -- 3. Integrability Properties of Nonlinear Sigma Models on Spheres -- 4. Nonlinear Sigma Models on Riemannian Symmetric Spaces -- 4.1 Riemannian Homogeneous Spaces -- 4.2 The Nonlinear Sigma Model on a Riemannian Homogeneous Space -- 4.3 Riemannian Symmetric Spaces (a short survey) -- 4.4 The Nonlinear Sigma Model on a Riemannian Symmetric Space -- 4.5 Further Comments -- 5. Quantized Nonlinear Sigma Models: Outlook -- References -- LINEARIZED NON-ABELIAN GAUGE QUANTUM FIELD THEORIES -- 0. Introduction -- 1.) Fiber bundle formulation of classical gauge theories -- 2.) Test form algebras BP -- 3.) The quantization rule -- 4.) Quantizing a G-gauge theory -- 5.) Special case: The U(1)-theory -- 5.1) The quantized U(l)-theory on (M,g) -- 6.) Concluding remarks -- ACKNOWLEDGEMENTS -- REFERENCES -- NONLINEAR WAVE EQUATIONS -- Introduction -- The Global Evolutionary Approach -- Basic Theory of Abstract Evolutionary Equations -- Local-in-Time Existence of Non-linear Equations -- Global-in-tine existence

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