Classical and Quantum Physics

60 Years Alberto Ibort Fest Geometry, Dynamics, and Control

  • G. Marmo
  • David Martín de Diego
  • Miguel Muñoz Lecanda
Conference proceedings

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

Table of contents

  1. Front Matter
    Pages i-xxvi
  2. Filiberto Ares, José G. Esteve, Fernando Falceto
    Pages 1-16
  3. Manuel Asorey
    Pages 17-28
  4. A. P. Balachandran, A. R. de Queiroz, Alberto Saa
    Pages 29-39
  5. A. P. Balachandran, A. F. Reyes-Lega
    Pages 41-55
  6. A. Balmaseda, J. M. Pérez-Pardo
    Pages 57-84
  7. José F. Cariñena, Jesús Clemente-Gallardo, Jorge A. Jover-Galtier, Javier de Lucas
    Pages 85-119
  8. José F. Cariñena, Manuel F. Rañada, Mariano Santander
    Pages 121-145
  9. Dariusz Chruściński
    Pages 147-162
  10. F. M. Ciaglia, G. Marmo, L. Schiavone
    Pages 163-185
  11. F. Finkel, A. González-López, I. León, M. A. Rodríguez
    Pages 187-201
  12. Antonio G. García, Miguel A. Hernández-Medina, Alberto Ibort
    Pages 203-223
  13. José M. Gracia-Bondía, Joseph C. Várilly
    Pages 225-242
  14. Fedele Lizzi, Alexandr Pinzul
    Pages 243-257
  15. Fernando Lledó, Diego Martínez
    Pages 259-273
  16. Margarita A. Man’ko, Vladimir I. Man’ko
    Pages 289-303
  17. Juan Carlos Marrero, Edith Padrón
    Pages 305-324
  18. Narciso Román-Roy
    Pages 325-336
  19. Patrizia Vitale
    Pages 337-359
  20. Eduardo Fernández, Javier Martínez-Aguinaga, Francisco Presas
    Pages 361-372
  21. Back Matter
    Pages 373-374

About these proceedings


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.


multisymplectic structures super manifolds inverse problem Quantum Groups Integrable systems BRST Symmetries Yang-Mills Theories BiHamiltonian Systems Quantum Control Quantum Tomography Wigner-Weyl formalism Lie-Jordan Algebras Associative Algebras proceedings Ibort

Editors and affiliations

  • G. Marmo
    • 1
  • David Martín de Diego
    • 2
  • Miguel Muñoz Lecanda
    • 3
  1. 1.Università degli Studi di Napoli Federico IINaplesItaly
  2. 2.Institute of Mathematical Sciences (ICMAT)MadridSpain
  3. 3.Universitat Politècnica de CatalunyaBarcelonaSpain

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-030-24747-8
  • Online ISBN 978-3-030-24748-5
  • Series Print ISSN 0930-8989
  • Series Online ISSN 1867-4941
  • Buy this book on publisher's site
Industry Sectors
IT & Software