Bøger i Mathematical Physics Studies serien
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- Quantization, Deformations, and Symmetries Volume II
1.133,95 kr. With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics.
- Bog
- 1.133,95 kr.
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1.261,95 kr. Large numbers of studies of the KdV equation have appeared since the pioneering paper by Gardner, Greene, Kruskal, and Miura in 1967. Most of those works have employed the inverse spectral method for 1D Schrödinger operators or an advanced Fourier analysis. Although algebraic approaches have been discovered by HirotäSato and Marchenko independently, those have not been fully investigated and analyzed. The present book offers a new approach to the study of the KdV equation, which treats decaying initial data and oscillating data in a unified manner. The author¿s method is to represent the tau functions introduced by HirotäSato and developed by Segal¿Wilson later in terms of the Weyl¿Titchmarsh functions (WT functions, in short) for the underlying Schrödinger operators. The main result is stated by a class of WT functions satisfying some of the asymptotic behavior along a curve approaching the spectrum of the Schrödinger operators at +¿ in an order of -(n-1/2)for the nth KdV equation. This class contains many oscillating potentials (initial data) as well as decaying ones. Especially bounded smooth ergodic potentials are included, and under certain conditions on the potentials, the associated Schrödinger operators have dense point spectrum. This provides a mathematical foundation for the study of the soliton turbulence problem initiated by Zakharov, which was the author¿s motivation for extending the class of initial data in this book. A large class of almost periodic potentials is also included in these ergodic potentials. P. Deift has conjectured that any solutions to the KdV equation starting from nearly periodic initial data are almost periodic in time. Therefore, our result yields a foundation for this conjecture. For the reader¿s benefit, the author has included here (1) a basic knowledge of direct and inverse spectral problem for 1D Schrödinger operators, including the notion of the WT functions; (2)Satös Grassmann manifold method revised by Segal¿Wilson; and (3) basic results of ergodic Schrödinger operators.
- Bog
- 1.261,95 kr.
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483,95 kr. New Dualities of Supersymmetric Gauge Theories
- Bog
- 483,95 kr.
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- Proceedings of the Workshop at Shonan, Japan, June 1999
1.736,95 kr. Proceedings of the Workshop at Shonan, Japan, June 1999
- Bog
- 1.736,95 kr.
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1.102,95 kr. Mathematical Aspects of Quantum Field Theories
- Bog
- 1.102,95 kr.
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- A Multidisciplinary View
573,95 kr. This book provides a broad description of the development and (computational) application of many-electron approaches from a multidisciplinary perspective.
- Bog
- 573,95 kr.
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- Past, Present and Future Perspectives
1.090,95 kr. In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc.
- Bog
- 1.090,95 kr.
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- Theory and their Applications to Geometry
1.078,95 kr. - Bog
- 1.078,95 kr.
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- Bog
- 616,95 kr.
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- Quantization, Deformations, and Symmetries Volume I
1.086,95 kr. With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics.
- Bog
- 1.086,95 kr.
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- Quantization, Deformations, and Symmetries Volume II
1.079,95 kr. With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics.
- Bog
- 1.079,95 kr.
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- Continuous Systems
1.102,95 kr. For infinite systems, the solutions of the equations of state are constructed by using the thermodynamic limit procedure, accord ing to which we first find a solution for a system of finitely many particles and then let the number of particles and the volume of a region tend to infinity keeping the density of particles constant.
- Bog
- 1.102,95 kr.
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- Theory and their Applications to Geometry
1.084,95 kr. Presents the Darboux transformations in matrix form and provides algebraic algorithms for constructing the explicit solutions. This work elucidates the behavior of simple and multi-solutions, even in multi-dimensional cases. It contains many results that were obtained by the authors in the past few years.
- Bog
- 1.084,95 kr.
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- Quantization, Deformations, and Symmetries Volume I
1.148,95 kr. With these two volumes, the reader will be able to take stock of the present state of the art in a number of subjects at the frontier of current research in mathematics, mathematical physics, and physics.
- Bog
- 1.148,95 kr.
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- The Karlskrona Conference in Honor of Jean Leray
654,95 kr. Contains papers presented at the conference held to honor the memory of on of the greatest mathematicians of the twentieth century, Jean Leray. This book is divided into five parts: hyperbolic systems and equations; symplectic mechanics and geometry; sheaves and spectral sequences; elliptic operators and index theory; and mathematical physics.
- Bog
- 654,95 kr.
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1.158,95 kr. The problem of deriving irreversible thermodynamics from the re versible microscopic dynamics has been on the agenda of theoreti cal physics for a century and has produced more papers than can be digested by any single scientist.
- Bog
- 1.158,95 kr.
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1.266,95 - 1.597,95 kr. Basic properties of oscillatory integrals and the stationary phase method are explained in the book in detail.Those finite-dimensional integrals form a sequence of approximation of the Feynman path integral when the division goes finer and finer.
- Bog
- 1.266,95 kr.
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1.686,95 kr. Here, we consider systematically waves corresponding to the propagation of discontinuities of physical quantities describing either fields (essentially electromagnetic fields and gravitational field), or the motion of a fluid, or together, in magnetohydrodynamics, the changes in time of a field and of a fluid.
- Bog
- 1.686,95 kr.
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- Past, Present and Future Perspectives
1.154,95 kr. In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc.
- Bog
- 1.154,95 kr.
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1.271,95 kr. Such unification may also require that the supersymmetry group possess irreducible representations with infinite reductiori on the Poincare subgroup, to accommodate an infinite set of particles.
- Bog
- 1.271,95 kr.
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- Essays in Honor of Lennart Carleson's 75th Birthday
574,95 kr. After making a central contri- tion, Lennart would usually move on to a new area, though he might return to the topic of his previous work if new techniques were developed that could break old mathematical log jams.
- Bog
- 574,95 kr.
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757,95 - 1.101,95 kr. This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications.
- Bog
- 757,95 kr.
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- Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993
1.091,95 kr. Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993
- Bog
- 1.091,95 kr.
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- Proceedings of the Conference in Honour of Guy Rideau
2.408,95 kr. Proceedings of the Conference in honour of Guy Rideau
- Bog
- 2.408,95 kr.
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- Essays in Honor of Lennart Carleson's 75th Birthday
565,95 kr. After making a central contri- tion, Lennart would usually move on to a new area, though he might return to the topic of his previous work if new techniques were developed that could break old mathematical log jams.
- Bog
- 565,95 kr.
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- Proceedings of the Conference in Honour of Guy Rideau
2.408,95 kr. Proceedings of the Conference in honour of Guy Rideau
- Bog
- 2.408,95 kr.
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- Bog
- 1.688,95 kr.
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- Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993
1.157,95 kr. Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993
- Bog
- 1.157,95 kr.
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1.093,95 kr. This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and nonlinear), a means to generate new non-trivial solutions for a given equation from the (perhaps trivial) solution of the same or related equation.
- Bog
- 1.093,95 kr.
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- Proceedings of the Workshop at Shonan, Japan, June 1999
1.692,95 kr. Proceedings of the Workshop at Shonan, Japan, June 1999
- Bog
- 1.692,95 kr.