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  • Bulk and Boundary Invariants for Complex Topological Insulators

    From K-Theory to Physics

    Series series Physics and Astronomy (R0)
    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. Particular focus is on the stability of the topological invariants in the presence of strong disorder, on the interplay between the bulk and boundary invariants and on their dependence on magnetic fields.The first part ... Read more

    $80.09 USD

  • A Computational Non-commutative Geometry Program for Disordered Topological Insulators

    by Emil Prodan ...
    Series series Physics and Astronomy (R0)
    This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoretical framework for the investigation of homogeneous condensed matter systems. Recently, this approach has been successfully applied to topological insulators, ... Read more

    $53.99 USD

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  • Operator Algebras and Applications

    The Abel Symposium 2015

    Series series Springer Nature Proceedings excluding Computer Science
    Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject.The field of operator ... Read more

    $215.99 USD

  • Towards the Mathematics of Quantum Field Theory

    Series series Mathematics and Statistics (R0)
    This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in use. This in turn promotes the interaction between mathematicians and physicists by supplying a common and flexible language for ... Read more

    $170.09 USD

  • Perspectives in Lie Theory

    Series series Mathematics and Statistics (R0)
    Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. This book gathers the key outcomes of this period, addressing topics such as: structure and representation theory of vertex algebras, Lie algebras and superalgebras, as ... Read more

    $116.99 USD

  • Multidimensional Periodic Schrödinger Operator

    Perturbation Theory and Applications

    by Oktay Veliev ...
    Series series Physics and Astronomy (R0)
    The book describes the direct problems and the inverse problem of the multidimensional Schrödinger operator with a periodic potential. This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. The unique method of this book derives the asymptotic formulas for Bloch eigenvalues and Bloch functions ... Read more

    $107.99 USD

  • Multi-scale Analysis for Random Quantum Systems with Interaction

    Series series Mathematics and Statistics (R0)
    The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle ... Read more

    $62.99 USD

  • Line Groups in Physics

    Theory and Applications to Nanotubes and Polymers

    Series series Physics and Astronomy (R0)
    Over last decades low-dimensional materials are in focus of physics and chemistry as well as of material and other natural sciences. Like Vitaly Ginzburg has foreseen 30 years ago, low dimensionality offers physical phenomena and properties unseen in three-dimensional world. To see how thin ?lms and monomolecular layers realize such a prediction it suf?ces only to observe intensity of research ... Read more

    $49.49 USD

  • Many-Body Approach to Electronic Excitations

    Concepts and Applications

    Series series Physics and Astronomy (R0)
    The many-body-theoretical basis and applications of theoretical spectroscopy of condensed matter, e.g. crystals, nanosystems, and molecules are unified in one advanced text for readers from graduate students to active researchers in the field. The theory is developed from first principles including fully the electron-electron interaction and spin interactions. It is based on the many-body ... Read more

    $206.09 USD

  • Martingales in Banach Spaces

    by Gilles Pisier ...
    Series Book 155 - Cambridge Studies in Advanced Mathematics
    This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has ... Read more

    $78.79 USD

  • Optimised Projections for the Ab Initio Simulation of Large and Strongly Correlated Systems

    Series series Physics and Astronomy (R0)
    Density functional theory (DFT) has become the standard workhorse for quantum mechanical simulations as it offers a good compromise between accuracy and computational cost.However, there are many important systems for which DFT performs very poorly, most notably strongly-correlated materials, resulting in a significant recent growth in interest in 'beyond DFT' methods. The widely used DFT+U ... Read more

    $89.09 USD

  • Linear Response Theory

    An Analytic-Algebraic Approach

    Series series Physics and Astronomy (R0)
    This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas. LRT is a tool to study systems that are driven out of equilibrium by external perturbations. In particular the reader is provided with a new and robust tool to implement LRT for a wide array of systems. The proposed formalism in fact applies to periodic and random systems ... Read more

    $58.49 USD