Mathematical Physics Studies

Lectures on Hyperhamiltonian Dynamics and Physical Applications

Authors: Gaeta, Giuseppe, Rodríguez, Miguel A.

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  • Presents the first monograph on the subject, which has previously been treated only in research papers
  • Provides a unified presentation of the mathematical theory and physical applications
  • Discusses open problems
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eBook 67,40 €
price for Spain (gross)
  • ISBN 978-3-319-54358-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-54357-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
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  • ISBN 978-3-319-85378-9
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications. In addition, some open problems are discussed. Hyperhamiltonian mechanics represents a generalization of Hamiltonian mechanics, in which the role of the symplectic structure is taken by a hyperkähler one (thus there are three Kähler/symplectic forms satisfying quaternionic relations). This has proved to be of use in the description of physical systems with spin, including those which do not admit a Hamiltonian formulation. The book is the first monograph on the subject, which has previously been treated only in research papers.

About the authors

Giuseppe Gaeta is currently Professor of Mathematical Physics at the Università degli Studi di Milano, Milan, Italy. Professor Gaeta studied Physics in Rome and subsequently held research or teaching positions in CRM, Montreal (Canada); IHES, Bures-sur-Yvette (France); École Polytechnique, Palaiseau (France); Rijksuniversiteit, Utrecht (the Netherlands); Universidad Carlos III and Universidad Complutense, Madrid (Spain); and Loughborough University (UK). He is the author of about 140 scientific research papers and two research monographs (one in collaboration with G. Cicogna). His main scientific interests are the roles of Symmetry in physical theories and in nonlinear dynamics. 

Miguel A. Rodríguez is full professor in the Department of Theoretical Physics of Universidad Complutense of Madrid, Spain. His teaching is mainly related to courses on  Mathematics applied to Physics. He has been visiting professor at Université de Montréal (Canada), University of California at Los Angeles (USA), and Università di Roma Tre (Italy). His research field includes several areas of Mathematical Physics; in particular, Integrable Systems, Group Theory, and Difference Equations. In recent years he has collaborated with research groups in Spain, Canada, and Italy on spin chains and their statistical and thermodynamic properties, invariant schemes for difference equations, and hyperhamiltonian dynamics.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-3-319-54358-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-54357-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-319-85378-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Lectures on Hyperhamiltonian Dynamics and Physical Applications
Authors
Series Title
Mathematical Physics Studies
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-54358-1
DOI
10.1007/978-3-319-54358-1
Hardcover ISBN
978-3-319-54357-4
Softcover ISBN
978-3-319-85378-9
Series ISSN
0921-3767
Edition Number
1
Number of Pages
XV, 182
Topics