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Bücher der Reihe Mathematical Physics Studies

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  • - Quantization, Deformations, and Symmetries Volume I
     
    108,00 €

    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.

  • von Shinichi Kotani
    112,00 €

    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.

  • - On the Geometry of Yang-Mills and Gravitational Gauge Theories
    von Eckehard W. Mielke
    140,00 €

  • - An Introduction for Mathematicians
    von Kasia Rejzner
    94,00 €

  • - From K-Theory to Physics
    von Emil Prodan & Hermann Schulz-Baldes
    85,00 - 86,00 €

    This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry.

  •  
    113,00 €

    This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques.The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.

  •  
    71,00 €

    New Dualities of Supersymmetric Gauge Theories

  • - Proceedings of the Workshop at Shonan, Japan, June 1999
     
    149,00 €

    Proceedings of the Workshop at Shonan, Japan, June 1999

  •  
    95,00 €

    Mathematical Aspects of Quantum Field Theories

  • - A Multidisciplinary View
     
    71,00 €

    This book provides a broad description of the development and (computational) application of many-electron approaches from a multidisciplinary perspective.

  • - Past, Present and Future Perspectives
     
    95,00 €

    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.

  • - Theory and their Applications to Geometry
    von Chaohao Gu, Anning Hu & Zixiang Zhou
    95,00 €

  • - The Karlskrona Conference in Honor of Jean Leray
     
    50,00 €

  • - Quantization, Deformations, and Symmetries Volume I
     
    95,00 €

    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.

  • - Quantization, Deformations, and Symmetries Volume II
     
    95,00 €

    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.

  • - Continuous Systems
    von D.Y. Petrina
    95,00 €

    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.

  • von Daisuke Fujiwara
    113,00 - 114,00 €

    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.

  • - The Karlskrona Conference in Honor of Jean Leray
     
    50,00 €

    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.

  • von C. Lindblad
    103,00 €

    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.

  • - Quantization, Deformations, and Symmetries Volume II
     
    108,00 €

    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.

  • von A. Lichnerowicz
    141,00 €

    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.

  • - Past, Present and Future Perspectives
     
    100,00 €

    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.

  • - Essays in Honor of Lennart Carleson's 75th Birthday
     
    75,00 €

    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.

  • von Giuseppe Gaeta
    76,00 €

    This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications.

  • - Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993
     
    95,00 €

    Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993

  • - Proceedings of the Conference in Honour of Guy Rideau
     
    204,00 €

    Proceedings of the Conference in honour of Guy Rideau

  • - Essays in Honor of Lennart Carleson's 75th Birthday
     
    50,00 €

    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.

  • - Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993
     
    96,00 €

    Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993

  • von Evgeny V. Doktorov & Sergey B. Leble
    95,00 €

    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.

  • - Proceedings of the Workshop at Shonan, Japan, June 1999
     
    141,00 €

    Proceedings of the Workshop at Shonan, Japan, June 1999

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