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  • Quantum Theory for Mathematicians

    par Brian C. Hall ...
    Collections series Mathematics and Statistics (R0)
    Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert ... En savoir plus

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    Integration, Summation and Special Functions

    Collections series Computer Science (R0)
    The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from ... En savoir plus

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  • Quantum Waveguides

    Collections series Physics and Astronomy (R0)
    This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external ... En savoir plus

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  • Multiple Dirichlet Series, L-functions and Automorphic Forms

    Collections series Mathematics and Statistics (R0)
    Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics. As such, it represents a new way in which areas including number theory, combinatorics, statistical ... En savoir plus

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  • Lie Theory and Its Applications in Physics

    Varna, Bulgaria, June 2015

    Modifié par Vladimir Dobrev ...
    Collections series Springer Nature Proceedings excluding Computer Science
    This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems.Recently, the trend has been towards geometrization of the mathematical description of physical ... En savoir plus

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  • Mathematical Aspects of Quantum Field Theory

    Collections Livre 127 - Cambridge Studies in Advanced Mathematics
    Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from ... En savoir plus

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  • Light Barrier

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    Learn how the theory of relativity works. Read about the reference point and how the relationship between this point and the “object” can change the mass, volume, energy and rate of time. Is the speed of light really the maximum?Quantum Entanglement occurs across the billions of miles of space at 10,000 times the speed of light. If this is true (it is) then how can the universal maximum speed of 1 ... En savoir plus

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  • Aspects of Symmetry

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    For almost two decades, Sidney Coleman has been giving review lectures on frontier topics in theoretical high-energy physics at the International School of Subnuclear Physics held each year at Erice, Sicily. This volume is a collection of some of the best of these lectures. To this day they have few rivals for clarity of exposition and depth of insight. Although very popular when first published, ... En savoir plus

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  • Extensions of Positive Definite Functions

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    This monograph deals with the mathematics of extending given partial data-sets obtained from experiments;Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information is a restriction, and the extensions take the form of full positive definite function on some prescribed ... En savoir plus

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  • Quantum Theory, Groups and Representations

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  • Symmetries, Integrable Systems and Representations

    Collections series Springer Nature Proceedings excluding Computer Science
    This volume is the result of two international workshops; Infinite Analysis 11 – Frontier of Integrability – held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Université Claude Bernard Lyon 1, France in December 13th to 16th, 2011.Included are research articles based on the talks presented at the workshops, latest results ... En savoir plus

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  • Mathematical Gauge Theory

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    The Standard Model is the foundation of modern particle and high energy physics. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa.The first part of the book covers the mathematical theory of Lie groups and Lie algebras, fibre bundles, connections, curvature and spinors. The second part then gives a ... En savoir plus

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