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  • Conference proceedings
  • © 2021

Quantum Theory and Symmetries

Proceedings of the 11th International Symposium, Montreal, Canada

  • 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 strict peer review to all contributions

Part of the book series: CRM Series in Mathematical Physics (CRM)

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Table of contents (61 papers)

  1. Front Matter

    Pages i-xvii
  2. Special Session in Honour of Decio Levi: Integrability: Continuous and Discrete, Classical & Quantum

    1. Front Matter

      Pages 1-1
    2. Spin Chains of Haldane–Shastry Type: A Bird’s Eye View

      • Federico Finkel, Artemio González-López, Miguel A. Rodríguez
      Pages 3-20
    3. Features of Discrete Integrability

      • Claude M. Viallet
      Pages 21-35
    4. Constant Curvature Holomorphic Solutions of the Supersymmetric G(2,  4) Sigma Model

      • Véronique Hussin, Marie Lafrance, İsmet Yurduşen
      Pages 91-100
    5. A New Approach to Analysis of 2D Higher Order Quantum Superintegrable Systems

      • Bjorn K. Berntson, Ian Marquette, Willard Miller Jr.
      Pages 111-120
    6. Ladder Operators and Rational Extensions

      • David Gómez-Ullate, Yves Grandati, Zoé McIntyre, Robert Milson
      Pages 121-130
    7. Tachyons and Representations of

      • P. Moylan
      Pages 131-139
    8. Conditional Discretization of a Generalized Reaction–Diffusion Equation

      • Decio Levi, Miguel A. Rodríguez, Zora Thomova
      Pages 149-156
    9. Discrete Curve Flows in Two-Dimensional Cayley–Klein Geometries

      • Joseph Benson, Francis Valiquette
      Pages 157-167
    10. Zernike System Stems from Free Motion on the 3-Sphere

      • Kurt Bernardo Wolf, Natig M. Atakishiyev, George S. Pogosyan, Alexander Yakhno
      Pages 169-177
  3. Algebraic and Non-perturbative Methods

    1. Front Matter

      Pages 179-179
    2. W-Algebras via Lax Type Operators

      • Daniele Valeri
      Pages 181-198

About this book

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.  


Editors and Affiliations

  • Département de physique, Université de Montréal, Montréal, Canada

    M. B. Paranjape, Richard MacKenzie, William Witczak-Krempa

  • Department of Mathematics and Physics, SUNY Polytechnic Institute, Utica, USA

    Zora Thomova

  • Department of Mathematics and Statistics, Université de Montréal, Montréal, Canada

    Pavel Winternitz

About the editors

Dr. Manu Paranjape is a professor in the Département de physique, Université de Montréal.  He is also a member of the Centre de recherches mathématiques. His general research area is theoretical physics, including induced quantum numbers, Skyrmions, non-commutative geometry, quantum spin systems, instantons and aspects of gravity.

Dr. Richard MacKenzie is a professor of physics at the Université de Montréal. His research is in theoretical physics and applications in a variety of fields, including particle physics, cosmology, condensed matter physics and quantum information.

Dr. Zora Thomova is a Professor of Mathematics at SUNY Polytechnic Institute, Utica NY.  Her research in the area of mathematical physics focuses on symmetries of differential and difference equations arising in physics, engineering and other sciences.

Dr. Pavel Winternitz is a professor at the Centre de recherches mathématiques, Université de Montréal. His research isdevoted to applications of group theory to physics. In particular nonlinear phenomena in physics, integrable and superintegrable systems and symmetries of differential, difference and delay equations.

Dr. William Witczak-Krempa is an assistant professor in the Department of Physics at Université de Montréal, where he holds a Canada Research Chair on Quantum Phase Transitions. He is a member of the Centre de recherches mathématiques. His research aims to understand and characterize novel quantum phases of matter by using an interdisciplinary approach. He has been active in studying quantum criticality, topological phases, and entanglement in many-body systems.

Bibliographic Information

Buy it now

Buying options

eBook USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access