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Classical and Quantum Physics

60 Years Alberto Ibort Fest Geometry, Dynamics, and Control

  • Conference proceedings
  • © 2019

Overview

Editors:
  1. G. Marmo

    1. Università degli Studi di Napoli Federico II, Naples, Italy

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  2. David Martín de Diego

    1. Institute of Mathematical Sciences (ICMAT), Madrid, Spain

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  3. Miguel Muñoz Lecanda

    1. Universitat Politècnica de Catalunya, Barcelona, Spain

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Part of the book series: Springer Proceedings in Physics (SPPHY, volume 229)

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Table of contents (20 papers)

  1. Front Matter

    Pages i-xxvi
    Download chapter PDF

  2. On a New Asymptotic Behaviour of Toeplitz Determinants

    • Filiberto Ares, José G. Esteve, Fernando Falceto
    Pages 1-16

  3. Bulk-Edge Dualities in Topological Matter

    • Manuel Asorey
    Pages 17-28

  4. Near-Horizon Modes and Self-adjoint Extensions of the Schrödinger Operator

    • A. P. Balachandran, A. R. de Queiroz, Alberto Saa
    Pages 29-39

  5. The Gauss Law: A Tale

    • A. P. Balachandran, A. F. Reyes-Lega
    Pages 41-55

  6. Quantum Control at the Boundary

    • A. Balmaseda, J. M. Pérez-Pardo
    Pages 57-84

  7. Application of Lie Systems to Quantum Mechanics: Superposition Rules

    • José F. Cariñena, Jesús Clemente-Gallardo, Jorge A. Jover-Galtier, Javier de Lucas
    Pages 85-119

  8. Killing Vector Fields and Quantisation of Natural Hamiltonians

    • José F. Cariñena, Manuel F. Rañada, Mariano Santander
    Pages 121-145

  9. Conditions for Legitimate Memory Kernel Master Equation

    • Dariusz Chruściński
    Pages 147-162

  10. From Classical Trajectories to Quantum Commutation Relations

    • F. M. Ciaglia, G. Marmo, L. Schiavone
    Pages 163-185

  11. On the Thermodynamics of Supersymmetric Haldane–Shastry Spin Chains

    • F. Finkel, A. González-López, I. León, M. A. Rodríguez
    Pages 187-201

  12. Towards a Quantum Sampling Theory: The Case of Finite Groups

    • Antonio G. García, Miguel A. Hernández-Medina, Alberto Ibort
    Pages 203-223

  13. On the Kinematics of the Last Wigner Particle

    • José M. Gracia-Bondía, Joseph C. Várilly
    Pages 225-242

  14. Dimensional Deception for the Noncommutative Torus

    • Fedele Lizzi, Alexandr Pinzul
    Pages 243-257

  15. Notions of Infinity in Quantum Physics

    • Fernando Lledó, Diego Martínez
    Pages 259-273

  16. Poisson-Nijenhuis Manifolds, Classical Yang-Baxter Equations, and Frobenius Algebras

    • F. Magri, T. Marsico
    Pages 275-287

  17. Hermite Polynomial Representation of Qubit States in Quantum Suprematism Picture

    • Margarita A. Man’ko, Vladimir I. Man’ko
    Pages 289-303

  18. On Sympletic Lifts of Actions for Complete Lagrangian Fibrations

    • Juan Carlos Marrero, Edith Padrón
    Pages 305-324

  19. Some Properties of Multisymplectic Manifolds

    • Narciso Román-Roy
    Pages 325-336

  20. A Simple Model of Double Dynamics on Lie Groups

    • Patrizia Vitale
    Pages 337-359
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Keywords

About this book

This proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas.Most of Albertos’s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply related to the framework of classical dynamics and quantum mechanics.
Let us mention some of the fields of expertise of Alberto Ibort:
Geometric Mechanics; Constrained Systems; Variational Principles; Multisymplectic structures for field theories; Super manifolds; Inverse problem for Bosonic and Fermionic systems; Quantum Groups, Integrable systems, BRST Symmetries; Implicit differential equations; Yang-Mills Theories; BiHamiltonian Systems; Topology Change and Quantum Boundary Conditions; Classical and Quantum Control; Orthogonal Polynomials; Quantum Field Theory and Noncommutative Spaces; Classical and Quantum Tomography; Quantum Mechanics on phase space; Wigner-Weyl formalism; Lie-Jordan Algebras, Classical and Quantum; Quantum-to-Classical transition; Contraction of Associative Algebras; contact geometry, among many others.
In each contribution, one may find not only technical novelties but also completely new way of looking at the considered problems. Even an experienced reader, reading Alberto's contributions on his field of expertise, will find new perspectives on the considered topic.
His enthusiasm is happily contagious, for this reason he has had, and still has, very bright students wishing to elaborate their PhD thesis under his guidance.What is more impressive, is the broad list of rather different topics on which he has contributed.

Editors and Affiliations

  • Università degli Studi di Napoli Federico II, Naples, Italy

    G. Marmo

  • Institute of Mathematical Sciences (ICMAT), Madrid, Spain

    David Martín de Diego

  • Universitat Politècnica de Catalunya, Barcelona, Spain

    Miguel Muñoz Lecanda

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