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Springer INdAM Series

Mathematical Challenges of Zero-Range Physics

Models, Methods, Rigorous Results, Open Problems

Editors: Michelangeli, Alessandro (Ed.)

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  • Original results closing relevant problems in the community
  • Pedagogical presentation of key technical tools
  • Transversal language by applied mathematicians and theoretical physicists
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eBook 117,69 €
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  • ISBN 978-3-030-60453-0
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Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-030-60452-3
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  • Covid-19 shipping restrictions
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About this book

Since long over the decades there has been a large transversal community of mathematicians grappling with the sophisticated challenges of the rigorous modelling and the spectral and scattering analysis of quantum systems of particles subject to an interaction so much localised to be considered with zero range. Such a community is experiencing fruitful and inspiring exchanges with experimental and theoretical physicists. This volume reflects such spirit, with a diverse range of original contributions by experts, presenting an up-to-date collection of most relevant results and challenging open problems. It has been conceived with the deliberate two-fold purpose of serving as an updated reference for recent results, mathematical tools, and the vast related literature on the one hand, and as a bridge towards several key open problems that will surely form the forthcoming research agenda in this field.


About the authors

Alessandro Michelangeli is at present a von Humboldt Experienced Researcher at the Institute of Applied Mathematics and at the Hausdorff Center for Mathematics at the university of Bonn. His research is at the interface of mathematical physics, functional analysis, partial differential equations, and operator theory, with a special focus on problems and methods for quantum mechanics. He graduated in theoretical physics in Pisa and in mathematical physics at SISSA Trieste, held faculty positions at the LMU Munich and SISSA Trieste, and visiting positions at the University of Cambridge, SISSA Trieste, and Bilkent. 

Table of contents (13 chapters)

Table of contents (13 chapters)
  • Thermodynamic Properties of Ultracold Fermi Gases Across the BCS-BEC Crossover and the Bertsch Problem

    Pages 1-33

    Iori, Martina (et al.)

  • Scattering Theory for Delta-Potentials Supported by Locally Deformed Planes

    Pages 35-55

    Cacciapuoti, Claudio (et al.)

  • The Massless Nelson Hamiltonian and Its Domain

    Pages 57-80

    Schmidt, Julian

  • A Note on the Dirac Operator with Kirchoff-Type Vertex Conditions on Metric Graphs

    Pages 81-104

    Borrelli, William (et al.)

  • Dirac Operators and Shell Interactions: A Survey

    Pages 105-131

    Ourmières-Bonafos, Thomas (et al.)

Buy this book

eBook 117,69 €
price for Spain (gross)
  • ISBN 978-3-030-60453-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-030-60452-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • 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
Mathematical Challenges of Zero-Range Physics
Book Subtitle
Models, Methods, Rigorous Results, Open Problems
Editors
  • Alessandro Michelangeli
Series Title
Springer INdAM Series
Series Volume
42
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-60453-0
DOI
10.1007/978-3-030-60453-0
Hardcover ISBN
978-3-030-60452-3
Series ISSN
2281-518X
Edition Number
1
Number of Pages
VIII, 329
Number of Illustrations
7 b/w illustrations, 9 illustrations in colour
Topics