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Titlebook: Quantum Theory and Symmetries; Proceedings of the 1 M. B. Paranjape,Richard MacKenzie,William Witczak- Conference proceedings 2021 Springer

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书目名称Quantum Theory and Symmetries
副标题Proceedings of the 1
编辑M. B. Paranjape,Richard MacKenzie,William Witczak-
视频video
概述Presents state-of-the-art reviews to introduce each main topic.Covers diverse applications of Theoretical and Mathematical Physics with close connections to symmetries and quantum mechanics.Applies st
丛书名称CRM Series in Mathematical Physics
图书封面Titlebook: Quantum Theory and Symmetries; Proceedings of the 1 M. B. Paranjape,Richard MacKenzie,William Witczak- Conference proceedings 2021 Springer
描述.This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montréal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in theirfields, have contributed reviews of the main topics to complement the original contributions.  .
出版日期Conference proceedings 2021
关键词Integrability; Group Theory; Nonlinear systems; String Theory; Condensed Matter Physics
版次1
doihttps://doi.org/10.1007/978-3-030-55777-5
isbn_softcover978-3-030-55779-9
isbn_ebook978-3-030-55777-5Series ISSN 2627-7654 Series E-ISSN 2627-7662
issn_series 2627-7654
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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Features of Discrete Integrability existence of Lax pairs, higher dimensional consistency, singularity properties, existence of symmetries, and low complexity (vanishing algebraic entropy). All these features have pros and cons, and we give a glimpse of them.
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Darboux-Bäcklund Transformations for Spin-Valued Linear Problemsues parameterizing solitons, usually computed as zeros of determinants, are identified as zeros of the spinor norm. Reduction groups (loop groups) for Spin-valued linear problems are identified with involutions in Clifford algebras.
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Painlevé IV Transcendents Generated from the Complex Oscillatorre shown to be ruled by polynomial Heisenberg algebras. A process for reducing the degree of these algebras to 2 is used to connect such systems with the Painlevé IV equation, thus leading to a simple algorithm for generating Painlevé IV transcendents.
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The Veronese Sequence of Analytic Solutions of the , Sigma Model Equations Described via Krawtchouk wo dimensions and the orthogonal Krawtchouk polynomials. We show that such solutions of the . model, defined on the Riemann sphere and having a finite action, can be explicitly parametrized in terms of these polynomials. We apply the obtained results to the analysis of surfaces associated with . sig
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Weighted Hurwitz Numbers, ,-Functions, and Matrix Integralsd Hurwitz numbers are shown to be Meijer .-functions. Using their Mellin-Barnes integral representation the .-function, evaluated at the trace invariants of an externally coupled matrix, is expressed as a matrix integral. Using the Mellin-Barnes integral transform of an infinite product of . functio
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Constant Curvature Holomorphic Solutions of the Supersymmetric ,(2,  4) Sigma Modele of the model. Supersymmetric invariant solutions are constructed by generalizing a known result for .. We show that other such solutions also exist. Considering the simplest case of .(2, .) model, we give necessary and sufficient conditions for getting the constant curvature holomorphic solutions.
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