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Springer Proceedings in Physics 229 G. Marmo David Martín de Diego Miguel Muñoz Lecanda Editors Classical and Quantum Physics 60 Years Alberto Ibort Fest Geometry, Dynamics, and Control Springer Proceedings in Physics Volume 229 Indexed by Scopus The series Springer Proceedings in Physics, founded in 1984, is devoted to timely reports of state-of-the-art developments in physics and related sciences. Typically based on material presented at conferences, workshops and similar scientific meetings, volumes published in this series will constitute a comprehensive up-to-date source of reference on a field or subfield of relevance in contemporary physics. Proposals must include the following: – name, place and date of the scientific meeting – a link to the committees (local organization, international advisors etc.) – scientific description of the meeting – list of invited/plenary speakers – an estimate of the planned proceedings book parameters (number of pages/ articles, requested number of bulk copies, submission deadline). More information about this series at http://www.springer.com/series/361 í G. Marmo David Mart n de Diego (cid:129) (cid:129) ñ Miguel Mu oz Lecanda Editors Classical and Quantum Physics 60 Years Alberto Ibort Fest Geometry, Dynamics, and Control 123 Editors G.Marmo DavidMartín deDiego Universitàdegli Studi diNapoli FedericoII InstituteofMathematicalSciences(ICMAT) Naples, Italy Madrid,Spain Miguel MuñozLecanda Universitat PolitècnicadeCatalunya Barcelona,Spain ISSN 0930-8989 ISSN 1867-4941 (electronic) SpringerProceedings in Physics ISBN978-3-030-24747-8 ISBN978-3-030-24748-5 (eBook) https://doi.org/10.1007/978-3-030-24748-5 ©SpringerNatureSwitzerlandAG2019 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained hereinorforanyerrorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregard tojurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Preface This volume is 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,andtoolsthataredeeplyrelatedtotheframeworkofclassicaldynamicsand quantummechanics.LetusmentionsomeofthefieldsofexpertiseofAlbertoIbort: GeometricMechanics;ConstrainedSystems;VariationalPrinciples;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 Polinomials; Quantum Field Theory and Noncommutative Spaces;ClassicalandQuantumTomography;QuantumMechanicsonphasespace; Wigner-Weylformalism;Lie-JordanAlgebras,ClassicalandQuantum;Quantum-to- Classicaltransition;ContractionofAssociativeAlgebras;contactgeometry… IneachAlberto’scontribution,onemayfindnotonlytechnicalnoveltiesbutalso completely new way of looking at the considered problems. Even an experienced reader, reading Alberto contributions on his field of expertise, will find new per- spectives on the considered topic. His enthusiasm is happily contagious, for this reasonhehashad,andstillhas,verybrightstudentswishingtoelaboratetheirPh.D. thesisunderhisguidance.Whatismoreimpressive,isthebroadlistofratherdifferent topicsonwhichhehascontributedandthepapersofthisvolumearejustasample. It remains for us to wish that he will continue his creative scientific life for the next 60 years. With our admiration Naples, Italy G. Marmo Madrid, Spain David Martín de Diego Barcelona, Spain Miguel Muñoz Lecanda v Alberto Ibort AlbertoIbortwasborninHuesca, onMarch 4,1958.He receivedhiseducationin Zaragoza,M.S.degreesinPhysicsandMathematicsandPh.D.inScience(Physics) in 1984, from Universidad de Zaragoza, under the guidance of Prof. Jose F. Cariñena Marzo. After completion of his doctoral research, he was post-doc in ParisVI,NielsBohrInstituteandUniversityofCaliforniaatBerkeleyin1986and 1990, before joining the Department of Física Teórica at University Complutense de Madrid, where he was Associate Professor until April 1997 when he won the chair of Applied Mathematics at the Department of Mathematics, Universidad Carlos III de Madrid. vii viii AlbertoIbort He is member of the Real Sociedad Española de Física and Real Sociedad Matemática Española. Ph.D. Students of Alberto Ibort Latre 1. Jesús Marín Solano. FUNDAMENTOS GEOMÉTRICOS DE SUPERMECÁNICA LAGRANGIANA, HAMILTONIANA Y SUPERSIMETRÍA. Department of Theoretical Physics, Universidad Complutense de Madrid. Year 1992. 2. Alejandro González Ruíz. MODELOS INTEGRABLES BIDIMENSIONALES CON CONDICIONES DE CONTORNO ABIERTAS E INVARIANCIA BAJO GRUPOS CUÁNTICOS. DepartmentofTheoreticalPhysics,UniversidadComplutensedeMadrid.Year 1993 (co-advised with H. de Vega). 3. Fran Presas Mata. SOBRE LA AMPLITUD DEL FIBRADO PRECUANTIZABLE EN GEOMETRÍA SIMPLÉCTICA Y DE CONTACTO. Mathematics, Department of Álgebra, Universidad Complutense de Madrid Year 2000. Facultad de Matemáticas. Departamento de Álgebra, Universidad Complutense de Madrid (coadvised with I. Sols). 4. DavidMartínezTorres.GEOMETRÍASCONCARACTERTOPOLÓGICO.Departamento de Matemáticas, Universidad Carlos III de Madrid. Year 2003. 5. Marina Delgado Téllez de Cepeda. MÉTODOS GEOMÉTRICOS EN PROBLEMAS DE CONTROL ÓPTIMO SINGULARES: FUNDAMENTOS Y APLICACIONES. Departamento de Matemáticas, Universidad Carlos III de Madrid. Year 2004. 6. Thalia Rodríguez de la Peña. REDUCCIÓN DE PRINCIPIOS VARIACIONALES CON SIMETRÍA Y PROBLEMAS DE CONTROL ÓPTIMO DE LIE-SCHEERS-BROCKETT. Departamento de Matemáticas, Universidad Carlos III de Madrid. Year 2009. 7. Pablo Linares Briones. ORTHOGONALLY ADDITIVE POLYNOMIALS AND APPLICATIONS.DepartamentodeAnálisisMatemático,UniversidadComplutense de Madrid. Year 2009 (co-advised with J. L. G. Llavona). 8. Juan Manuel Pérez-Pardo. ON THE THEORY OF SELF-ADJOINT EXTENSIONS OF THE LAPLACE-BELTRAMI OPERATOR, QUADRATIC FORMS AND SYMMETRY. Departamento deMatemáticas,UniversidadCarlosIIIdeMadrid.Year2013(co-advisedwith F. Lledo). 9. Leonardo Ferro. SYMMETRIES AND CONSTRAINTS IN CLASSICAL AND QUANTUM MECHANICS: LIE-JORDAN BANACH ALGEBRAS AND THEIR APPLICATIONS. Departamento de Matemáticas, Universidad Carlos III de Madrid. Year 2013. 10. Alberto López Yela. QUANTUM TOMOGRAPHY: FOUNDATIONS AND APPLICATIONS. Departamento de Matemáticas, Universidad Carlos III de Madrid. Year 2015. 11. Alfredo Bautista Santacruz. ON THE CAUSALITY PROPERTIES OF SPACE-TIMES, THEIRSPACESOFLIGHTRAYSANDSKIES.DepartamentodeGeometríayTopológia, UniversidadComplutensedeMadrid.Year2016(co-advisedwithJ.Lafuente). AlbertoIbort ix Master Students 1. Juan Manuel Pérez-Pardo. Master of Science (Física Teórica, UCM). VON NEUMANN QUANTUM CONTROL. Departamento de Matemáticas, Universidad Carlos III de Madrid. Year 2009. 2. Rafael Olano Libran. Master of Science (Física Teórica, UCM). QUANTUM ALGORITHMS FOR SOLVING LINEAR SYSTEMS. Departamento de Fisica Teorica I, Universidad Complutense de Madrid. Year 2015. 3. Aitor Balmaseda Martín. Master of Mathematical Engineering (UC3M). QUANTUM CONTROL AT THE BOUNDARY: AN APPLICATION TO QUANTUM CIRCUITS. Year 2018. 4. Nicolás de Miguel Ruano. TFG, Industrial Technologies, UCIIIM CONTROLABILIDAD DE SISTEMAS HÍBRIDOS. Escuela Politécnica Superior, Universidad Carlos III de Madrid. Year 2016. List of Publications of Alberto Ibort Books J.F. Cariñena, A. Ibort, G. Marmo, G. Morandi. Geometry from Dynamics, Classical and Quantum Theoretical, Mathematical and Computational Physics, vol XXV. Springer (2014), 723 pages. ISBN: 978-94-017-9219-6 (Print). x AlbertoIbort AlbertoIbortandJ.F.Cariñena 60YearsAlbertoIbortFestClassicalandQuantumPhysics:Geometry, DynamicsandControl5–9March,2018

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