C.I.M.E. Foundation Subseries

Quantum Many Body Systems

Cetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason

Authors: Rivasseau, V., Seiringer, R., Solovej, J.P., Spencer, Th.

Editors: Giuliani, Alessandro, Mastropietro, Vieri, Yngvason, Jakob (Eds.)

  • Tutorial presentation of advanced topics introduces the reader to some of the most exciting topics of modern mathematical physics Examples and physical applications guide the reader towards a deep comprehension of sophisticated mathematical tools Serves as a guide through recent literature on the mathematics of interacting fermionic and bosonic systems

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eBook $34.99
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  • ISBN 978-3-642-29511-9
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Softcover $49.95
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  • ISBN 978-3-642-29510-2
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About this book

The book is based on the lectures given at the CIME school "Quantum many body systems" held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathematics of interacting systems, written by four leading experts in the field: V. Rivasseau illustrates the applications of constructive Quantum Field Theory to 2D interacting electrons and their relation to quantum gravity; R. Seiringer describes a proof of Bose-Einstein condensation in the Gross-Pitaevski limit and explains the effects of rotating traps and the emergence of lattices of quantized vortices; J.-P. Solovej gives an introduction to the theory of quantum Coulomb systems and to the functional analytic methods used to prove their thermodynamic stability; finally, T. Spencer explains the supersymmetric approach to Anderson localization and its relation to the theory of random matrices. All the lectures are characterized by their mathematical rigor combined with physical insights.

Table of contents (4 chapters)

  • Introduction to the Renormalization Group with Applications to Non-relativistic Quantum Electron Gases

    Rivasseau, Vincent

    Pages 1-54

  • Cold Quantum Gases and Bose–Einstein Condensation

    Seiringer, Robert

    Pages 55-92

  • Quantum Coulomb Gases

    Solovej, Jan Philip

    Pages 93-124

  • SUSY Statistical Mechanics and Random Band Matrices

    Spencer, Thomas

    Pages 125-177

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-642-29511-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-642-29510-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Many Body Systems
Book Subtitle
Cetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason
Authors
Editors
  • Alessandro Giuliani
  • Vieri Mastropietro
  • Jakob Yngvason
Series Title
C.I.M.E. Foundation Subseries
Series Volume
2051
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-29511-9
DOI
10.1007/978-3-642-29511-9
Softcover ISBN
978-3-642-29510-2
Edition Number
1
Number of Pages
XIII, 180
Number of Illustrations and Tables
10 b/w illustrations, 1 illustrations in colour
Topics