Classical and Quantum Physics: 60 Years Alberto Ibort Fest Geometry, Dynamics, and Control

388 Pages·5.573 MB·English

by  G. Marmo, David Martín de Diego, Miguel Muñoz Lecanda

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
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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)
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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